Artículos de Nicolás Andruskiewitsch.

Volver a la página de bienvenida.

Artículos / Articles de Nicolás Andruskiewitsch

https://orcid.org/0000-0002-9163-5161

Papers in arXiv

Revista Colombiana de Matemáticas, vol. 53 Número E. Actas del XXII Coloquio Latinoam. de Álgebra, Quito 2017.

A class of finite-by-cocommutative Hopf algebras (with S. Natale, B. Torrecillas). Abstract and file, arXiv:2303.14037.

On the Drinfeld double of the restricted Jordan plane in characteristic 2 (with D. Bagio; D. Flôres; S. Della Flora). Abstract and file, arXiv:2303.02228

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VII. Mixed classes in Chevalley and Steinberg groups. (with G. Carnovale y G. García). Abstract and file, arXiv:2301.03361

On the finite-dimensional representations of the double of the Jordan plane. (Con H. Peña Pollastri). Abstract and file, arXiv:2211.01581

Poisson orders on large quantum groups (with I. Angiono, M. Yakimov). Abstract and file, arXiv:2008.11025.

Rank 4 Nichols algebras of pale braidings (with I. Angiono, M. Moya Giusti). Abstract and file, arXiv:2108.02608. SIGMA, Symmetry Integrability Geom. Methods Appl., to appear.

On the Laistrygonian Nichols algebras that are domains. (with D. Bagio; D. Flôres; S. Della Flora). Abstract and file, arXiv:2202.13957. Journal of Algebraic Combinatorics, to appear.https://doi.org/10.1007/s10801-022-01179-2

Corrigendum: Liftings of Jordan planes (with I. Angiono, I. Heckenberger). Abstract and file, arXiv:2203.03350. Proceedings of the Edinburgh Mathematical Society, 65(2), 577-586.

On the double of the Jordan plane (with François Dumas and Héctor Peña Pollastri). Abstract and file, arXiv:2108.13849. Ark. Mat. 60 (2), pp. 213--229 (2022)..

On the double of the (restricted) super Jordan plane (with Héctor Peña Pollastri). Abstract and file, arXiv:2008.01234. New York J. Math. 28 (2022), 1596-1622..

Lie algebras arising from Nichols algebras of diagonal type (with I. Angiono and F. Rossi Bertone). Abstract and file, arXiv:1911.06586. Int. Math. Res. Notices Volume 2023, Issue 4, pp. 3424–3459. https://doi.org/10.1093/imrn/rnab348

On pointed Hopf algebras over nilpotent groups. Abstract and file, arXiv:2104.04789 . Israel J. Math, to appear.

Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups (with I. Angiono, J. Pevtsova, S. Witherspoon). Abstract and file, arXiv:2004.07149. Res. Math. Sci. https://doi.org/10.1007/s40687-021-00287-y

Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type (with G. Sanmarco). Abstract and file, arXiv:2002.11087. Trans. Amer. Math. Soc. Ser. B 8, 296–329 (2021). https://doi.org/10.1090/btran/66

Examples of finite-dimensional pointed Hopf algebras in characteristic 2 (with D. Bagio; D. Flôres; S. Della Flora). Abstract and file, arXiv:2005.08043. Glasgow Mathematical Journal, 64(1), 65-78. https://doi.org/10.1017/S0017089520000579

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V. Mixed classes in Chevalley and Steinberg groups (with G. Carnovale and G. García). Abstract and file, arXiv:1812.11566. Manuscripta Math. 166, 605–647 (2021). Online version, free access.
On the Hopf Algebra Structure of the Lusztig Quantum Divided Power Algebras (with I. Angiono and C. Vay). Abstract and file, arXiv:2005.08342 . Ann. Math. Blaise Pascal 27, No. 2, 131-157 (2020).
On the restricted Jordan plane in odd characteristic (with Héctor Peña Pollastri). Abstract and file, arXiv:2002.02514. J. Algebra Appl. Volume No. 20, Issue No. 01, Article No. 2140012. DOI.

On Nichols algebras over basic Hopf algebras (with I. Angiono). Abstract and file, 1802.00316. Math. Zeitschrift, 296, 1429–1469 (2020). https://doi.org/10.1007/s00209-020-02493-w

Examples of finite-dimensional pointed Hopf algebras in positive characteristic (with I. Angiono and I. Heckenberger). Abstract and file, 1905.03074 . In Representation Theory, Mathematical Physics and Integrable Systems, in honor of Nicolai Reshetikhin, editors A. Alexeev, E. Frenkel, M. Rosso, B. Webster and M. Yakimov Progr. Math. 340, pp 1-38 (2021). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-78148-4_1

On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension (with I. Angiono and I. Heckenberger). Abstract and file, 1805.12000. Rend. Lincei Mat. Appl. 31 (2020), 81–101 DOI 10.4171/RLM/880 See Accademia dei Lincei.

On the bosonization of the super Jordan plane (with D. Bagio; D. Flôres; S. Della Flora). São Paulo J. Math. Sci. 13(1), 1-26 (2019). Enhanced pdf. Abstract and file, arXiv:1903.06219 DOI: https://doi.org/10.1007/s40863-019-00125-8

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type IV. Unipotent classes in Chevalley and Steinberg groups (with G. Carnovale and G. García). Abstract and file, arXiv:1612.07964. Algebr. Represent. Theory 23, 621–655(2020) (June). DOI: 10.1007/s10468-019-09868-6 SharedIt. Online first.

On finite GK-dimensional Nichols algebras of diagonal type (with I. Angiono and I. Heckenberger). Abstract and file, 1803.08804. Contemp. Math. 728 (2019), 1--23. https://doi.org/10.1090/conm/728

On finite GK-dimensional Nichols algebras over abelian groups (with I. Angiono and I. Heckenberger).Abstract and file, arXiv:1606.02521. Mem. Amer. Math. Soc. Volume 271, Number 1329 (2021). DOI: https://doi.org/10.1090/memo/1329

On unrolled Hopf algebras (with C. Schweigert). Abstract and file, arXiv:1701.00153. J of Knot Theory & Its Ramifications, Vol. 27, No. 10 (2018) 1850053 (15 pages)
https://doi.org/10.1142/S0218216518500530.

On Finite dimensional Nichols algebras of diagonal type (With I. Angiono). Open access Bull. Math. Sci. (2017) 7:353–573. doi

An Introduction to Nichols Algebras. pdf Version of May 10, 2017. In Quantization, Geometry and Noncommutative Structures in Mathematics and Physics. Mathematical Physics Studies, Springer; Alexander Cardona, Pedro Morales, Hernán Ocampo, Sylvie Paycha, Andrés Reyes, eds. pp. 135--195 (2017).

Representations of the super Jordan plane (with D. Bagio; D. Flôres; S. Della Flora). pdf. São Paulo J. Math. Sci. (2017) 11: 312-325. Online journal version.

Simple Modules of the Quantum Double of the Nichols Algebra of Unidentified Diagonal Type (with I. Angiono, A. Mejía and C. Renz). Abstract and file, arXiv:1608:06395 . Commun. Algebra 46:4, 1770-1798 (2018).

Nichols algebras that are quantum planes (with João Matheus Jury Giraldi). Abstract and file, arXiv:1702.02506. Linear and Multilinear Algebra, 66:5, 961-991 (2018). Online journal version. DOI: http://dx.doi.org/10.1080/03081087.2017.1331997.

Liftings of Jordan and super Jordan planes (with I. Angiono and I. Heckenberger). Abstract and file, arXiv:1512.09271. Proc. Edinb. Math. Soc., II. Ser. 61 (2018), no. 3, 661--672. First view. doi:10.1017/S0013091517000402

A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2) (with I. Angiono and F. Rossi Bertone). Abstract and file, arXiv:1603.09387. Bull. Belg. Math. Soc. Simon Stevin 24 (1) (2017), 15-34.

Twisting Hopf algebras from cocycle deformations (with A. García Iglesias). Abstract and file, arXiv:1512.01696. Annali dell'Università di Ferrara, published version. November 2017, Volume 63 pp 221–247.

Examples of finite-dimensional Hopf algebras with the dual Chevalley property. (Con César Galindo y Monique Müller). Abstract and file, arXiv:1509.01548. Publicacions Matemàtiques 61 (2017), 445–474. DOI: 10.5565/PUBLMAT6121705

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSL(n,q) (with G. Carnovale and G. García). Abstract and file, arXiv:1506.06794. Rev. Mat. Iberoam. 33 (3), 995--1024 (2017).

Liftings of Nichols algebras of diagonal type I. Cartan type A (with I. Angiono and A. García Iglesias). Abstract and file, arXiv:1509.01622. Published version. Int. Math. Res. Notices 2017 (9) 2793–2884, https://doi.org/10.1093/imrn/rnw103

The divided powers algebra of a finite-dimensional Nichols algebra of diagonal type (with I. Angiono and F. Rossi Bertone). Math. Res. Lett. 24 (2017), pp. 619-643. Abstract and file, arXiv:1501.04518.

Examples of extensions of Hopf algebras (with M. Müller). Abstract and file, arXiv:1503.07344. Revista Colombiana de Matemáticas vol. 49, no. 1, (2015). 193-211.

On finite-dimensional Hopf algebras. Abstract and file, arXiv:1403.7838. Final version Proceedings of the ICM Seoul 2014. Vol. II, pp. 117--141. (2014).

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II. Unipotent classes in symplectic groups (with G. Carnovale and G. García). A bstract and file, arXiv:1412.7397. Commun. Contemp. Math. 18, 1550053 (2016) [35 pages] doi:10.1142/S0219199715500534.

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSL(n,q) (with G. Carnovale and G. García). Abstract and file, arXiv:1312.6238. J. Algebra 442 (2015), 36-65. Versión publicada.doi:10.1016/j.jalgebra.2014.06.019

Examples of pointed color Hopf algebras (with I. Angiono and D. Bagio). Abstract and file, arXiv:1212.0514. 25 pages. J. Algebra Appl. 13, 1350098 (2014) [28 pages] DOI: 10.1142/S0219498813500989

Lifting via cocycle deformation (with I. Angiono, Agustín García Iglesias, Akira Masuoka and C. Vay). Abstract and file, arXiv:1212.5279. 24 pages. J. Pure Appl. Alg. Volume 218, Issue 4, April 2014, Pages 684-703. Versión final.

On two finiteness conditions for Hopf algebras with nonzero integral (with J. Cuadra and P. Etingof). Abstract and file, arXiv:1206.5934. 34 pages. Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) Vol. XIV (2015), 1-40. DOI Number: 10.2422/2036-2145.201206_011

ACTAS de la ACADEMIA NACIONAL DE CIENCIAS. Tomo XV. Segunda Escuela de Historia conceptual de las Matemáticas. 2012. Autores: Mohamad Al-Houjairi, Pierre Cartier, Walter Ferrer Santos, Caroline Jullien, Philippe Nabonnand, Alberto G. Ranea, Víctor Rodríguez, Sandra Visokolskis.

From Hopf algebras to tensor categories (with I. Angiono, Agustín García Iglesias, Blas Torrecillas and C. Vay). Abstract and file, arXiv:1204.5807, pages 1--32. En Conformal field theories and tensor categories.. Proceedings of a Workshop Held at Beijing International Center for Mathematical Research Series: Mathematical Lectures from Peking University. Bai, C., Fuchs, J., Huang, Y.-Z., Kong, L., Runkel, I., Schweigert, C. (Eds.) 2014, IX, 279 p. 15 illus. Springer. ISBN 978-3-642-39383-9

On a family of Hopf algebras of dimension 72 (with C. Vay). Abstract and file, arXiv:1105.0394. Bull. Belg. Math. Soc. Simon Stevin 19 (2012), 415–443.

On slim double Lie groupoids (with J. Ochoa and A. Tiraboschi). Abstract and file, arXiv:0808.3147. 15 pages. Pacific J. of Math 256 (2012), 1--17..

Dos grupos de Lie aos grupos quânticos. En: Dualidade Álgebra Geometria : I Escola de Verao em História Conceitual da Matemática / Dominique Flament eWilton Barroso (orgs.). – Brasília : Casas da Musas, 2009, pp. 447-479. Versión castellana. Versión portuguesa.

Finite dimensional Hopf algebras over the dual group algebra of the symmetric group in three letters (with C. Vay). Commun. Algebra 39 (2011), 4507--4517. Abstract and file, arXiv:1010.5953.

On the structure of (co-Frobenius) Hopf algebras (with J. Cuadra). Abstract and file, arXiv:1011.3457. Journal of Noncommutative Geometry. Volume 7, Issue 1, pp. 83–104 (2013).

On twisted homogeneous racks of type D (with F. Fantino, G. García, L. Vendramin). Abstract and file, arXiv:1007:1739. Revista de la Unión Matemática Argentina vol. 51-2 (2010), pp. 1-16.

On pointed Hopf superalgebras (with I. Angiono, and H. Yamane). Abstract and file, arXiv:1006.5148v1. Contemp. Math. vol. 544, pp. 123--140, Amer. Math. Soc., Providence, RI, 2011.

On Nichols algebras associated to simple racks (with F. Fantino, G. García, L. Vendramin). Abstract and file, arXiv:1006.5727v1.Groups, Algebras and Applications, Contemporary Mathematics, vol. 537, Amer. Math. Soc., Providence, RI, 2011, pp. 31-56.

Pointed Hopf algebras over the sporadic simple groups (with F. Fantino, M. Graña, L. Vendramin). Abstract and file, arXiv:1001.1108v1. J. Algebra 325 (2011), pp. 305-320.

Ver el anuncio Pointed Hopf algebras over some sporadic simple groups. C. R. Math. Acad. Sci. Paris 348 (2010) pp. 605-608.

The logbook of Pointed Hopf algebras over the sporadic simple groups (with F. Fantino, M. Graña, L. Vendramin). Abstract and file, arXiv:1001.1113. J. Algebra 325 (2011), pp. 282-304. Ver logs de los cálculos.

The Nichols algebra of a semisimple Yetter-Drinfeld module (with I. Heckenberger and H.-J. Schneider ). Abstract and file, arXiv:0803.2430. Amer. J. Math., vol. 132, no. 6, December 2010, , pp. 1493-1547.

Complete reducibility theorems for modules over pointed Hopf algebras (with D. Radford and H.-J. Schneider ). Abstract and file, arXiv:1001.3977. J. Algebra 324 (2010), pp. 2932-2970, Special Issue in honor of Susan Montgomery.

Finite-dimensional pointed Hopf algebras with alternating groups are trivial (with F. Fantino, M. Graña, L. Vendramin). Abstract and file, arXiv:00812.4628. 26 pp. Ann. Mat. Pura Appl. (4) Volume 190, Number 2, 225-245 (2011).

Examples of inner linear Hopf algebras (with J. Bichon). Abstract and file, arXiv:0911.5585. 9 pages. Revista de la Unión Matemática Argentina vol. 51-1, pp. 7--18 (2010).

The beginnings of the theory of Hopf algebras (with Walter Ferrer Santos). pdf Acta Applicandae Mathematicae. Acta Appl Math (2009) 108: 3–17. Revisions available here: arXiv:0901.2460.
Ver también el artículo de Pierre Cartier, Groupes algébriques et groupes de Lie formels, Centre Belge Rech. Math., Colloque Theor. Groupes algebr., Bruxelles 1962, (1962), 87-111.

On pointed Hopf algebras associated with the symmetric groups (with F. Fantino and S. Zhang). Abstract and file, arXiv:0807.2406. Manuscripta Math., Vol. 128, N. 3 (March 2009). Pages 359-371. Versión publicada.

New techniques for pointed Hopf algebras (with F. Fantino). Abstract and file, arXiv:0803.3486. New developments in Lie theory and geometry, Contemp. Math. 491 (2009) 323-348.
Quantum subgroups of a simple quantum group at roots of 1 (with G. García). Abstract and file, arXiv:0707.0070. Compositio Math. 145 (2009), 476-500.

On Nichols algebras with generic braiding (with I. Angiono). Abstract and file,arXiv:math/0703924v2 . In "Modules and Comodules". Trends in Mathematics. Brzezinski, T.; Gómez Pardo, J.L.; Shestakov, I.; Smith, P.F. (Eds.), pp. 47-64 (2008). ISBN: 978-3-7643-8741-9.

On pointed Hopf algebras associated with alternating and dihedral groups (with F. Fantino). Abstract and file, math.QA/0702559. Rev. Unión Mat. Argent.. 48-3, (2007), pag. 57-71 (versión final).

On module categories over finite-dimensional Hopf algebras (with J. M. Mombelli). Abstract and file, math.QA/0608781. J. Alg. 314, (2007), 383-418. Versión publicada.

On pointed Hopf algebras associated to unmixed conjugacy classes in S_n (with F. Fantino). Abstract and file, math.QA/0608701. J. Math. Phys. 48, 033502 (2007) (26 pages).

Extensions of finite quantum groups by finite groups (with G. García). Abstract and file, math/0608647. Transformation Groups Vol. 14, N. 1 (March 2009). Pages 1-27. Versión publicada.

A family of Poisson non-compact symmetric spaces (with A. Tiraboschi) J. Geom. Phys. 60, issue 10 (octubre 2010), 1306--1325.

The structure of double groupoids (with S. Natale ). Abstract and file, math.CT/0602497. J. Pure Appl. Algebra Volume 213, Issue 6, June 2009, Pages 1031-1045. Versión publicada.Ver comentarios de R. Brown.

Isomorphism classes and automorphisms of finite Hopf algebras of type A_n (with H.-J. Schneider ). Abstract and file, math.QA/0511283. Actas del XVI Coloquio Latinoamericano de Álgebra (Colonia, Uruguay), 27 pp; Biblioteca de la Revista Matemática Iberoamericana. Versión final.

On pointed Hopf algebras associated to some conjugacy classes in S_n (with Shouchuan Zhang ). Abstract and file, math.QA/0511020. Proc. Amer. Math. Soc. 135 (2007), 2723-2731.

On observable module categories (with Walter Ferrer Santos). pdf. in Groups, Rings and Group Rings, Lecture Notes in Pure and Appl. Math. No 248, Chapman & Hall/CRC, Boca Raton, 2006, pp.11-23.

On the classification of finite-dimensional pointed Hopf algebras (with H.-J. Schneider ). Abstract and file, math.QA/0502157. Ann. Math. Vol. 171 (2010), No. 1, 375–417. Versión final.

Tensor categories attached to double groupoids (with Sonia Natale). Abstract and file, math.QA/0408045. Adv. Math. 200 (2006) pp. 539-583. Versión publicada.

Examples of weak Hopf algebras arising from vacant double groupoids (with Juan Martín Mombelli). Abstract and file, math.QA/0405374. Nagoya Math. J. 181 (2006), 1--27.

On the quiver-theoretical quantum Yang-Baxter equation. Abstract and file, math.QA/0402269. Selecta Math., New ser. 11 (2005), 203-246. tex, pdf.

Representations of matched pairs of groupoids and applications to weak Hopf algebras (with Marcelo Aguiar). Abstract and file, math.QA/0402118. Versión final: pdf. Contemp. Math. 376 (2005), 127-173.

Irreducible representations of liftings of quantum planes (with M. Beattie). pdf. Proceedings of V International Workshop "Lie Theory and Its Applications in Physics", (Varna, June 2003), eds. H.-D. Doebner and V.K. Dobrev, (World Sci, Singapore, 2004, ISBN 981-238-936-9). Corrected version, math/0609515.

Double categories and quantum groupoids (with S. Natale). Abstract and file, math.QA/0308228. Versión final, Publ. Mat. Urug. 10 11-51 (2005).

Examples of liftings of Nichols algebras over racks. ps (with M. Graña). En Algebra Montpellier Announcements, 6 pp.

Some remarks on Nichols algebras. Abstract and file. En "Hopf algebras", Bergen, Catoiu and Chin (eds.), 25-45 (2004), M. Dekker.

The coradical of the dual of a lifting of a quantum plane (with M. Beattie). dvi. En "Hopf algebras", Bergen, Catoiu and Chin (eds.), 47-63 (2004), M. Dekker.

On simple real Lie bialgebras Abstract and file (with P. Jancsa). IMRN 2004:3 (2004) 139-158.

On the automorphisms of $U_q^+({\mathfrak g})$. Abstract and file (with F. Dumas). IRMA Lectures in Mathematics and Theoretical Physics Vol. 12. Quantum Groups pp. 107-134. Versión final.

Braided Hopf algebras arising from matched pairs of groups. Abstract and file (with S. Natale). J. Pure Appl. Alg. 182, 119--149 (2003). Versión publicada.

From racks to pointed Hopf algebras (with M. Graña) Abstract and file. Adv. in Math. 178 (2), 177--243 (2003). Versión publicada.

A characterization of quantum groups (with H.-J. Schneider ). Abstract and file. J. Reine Angew. Math. 577, 81--104 (2004).

Pointed Hopf algebras (with H.-J. Schneider). In "New directions in Hopf algebras", MSRI series Cambridge Univ. Press; 1--68 (2002). ps.
Co-Frobenius Hopf algebras and the coradical filtration (with S. Dascalescu). Math. Z. 243 (2003), no. 1, 145--154. dvi.

On finite quantum groups at -1 (with S. Dascalescu). Algebr. Represent. Theory 8 (2005), no. 1, 11--34. dvi.

New Trends in Hopf Algebra Theory . (Editor, with W. Ferrer Santos and H.-J. Schneider). Contemporary Mathematics, vol. 267. Amer. Math. Soc. (2000).

Triangular Hopf Algebras With The Chevalley Property (with P. Etingof and S. Gelaki). Michigan Math. J. 49 (2001), 277--298. Abstract. ps. dvi. Versión publicada

About finite dimensional Hopf algebras . Notes of a course given at the CIMPA School "Quantum symmetries in theoretical physics and mathematics", Bariloche 2000. Contemp. Math 294, 1--57 (2002). ps. See Contemp. Math. 294

Harmonic analysis on semisimple Hopf algebras (with S. Natale). Algebra i Analiz 12, no. 5, (2000), pp. 3--27. Also in St. Petersburg Math. J. 12, no. 5, 713--733 (2001). Versión publicada. ps. pdf

Counting arguments for Hopf algebras of low dimension (with S. Natale). Tsukuba Math. J. 25, No. 1 (2001), pp. 187--201. Version of March 21, 2000. dvi. tex. Printed version.

Finite quantum groups over abelian groups of prime exponent (with H.-J. Schneider). Preprint (1999). Ann. Sci. Ec. Norm. Super. 35 (2002), 1--26. ps Versión publicada.

Compact matrix quantum groups arising from hermitian Yang-Baxter coalgebras (with A. Abella). Commun. Alg. 30 (7), 3107--3142 (2002). ps.

Lie quasi-bialgebras with quasi-triangular decomposition (with A. Tiraboschi). J. of Lie Theory 10 (2000) 383--397. Abstract. dvi. tex.

Lifting of Nichols Algebras of Type A₂ and Pointed Hopf Algebras of order p⁴ (with H.-J. Schneider). Proceedings of the Colloquium "Hopf algebras and quantum groups", Brussels 1998, ed. S. Caeneppel, Marcel Dekker, (2000), 1-15. tex. dvi. ps.

On the coradical filtration of Hopf algebras whose coradical is a Hopf subalgebra (with H.-J. Schneider). Bol. Acad. Nacional de Ciencias (Córdoba) 65 (2000), pp. 45--51. tex. dvi.

Finite quantum groups and Cartan matrices (with H.-J. Schneider). Adv. Math. 154, 1-45 (2000). Abstract. dvi. Versión publicada.

Examples of self-dual Hopf algebras (with S. Natale). J. Math. Sci. Univ. Tokyo 6, 181-215 (1999). tex . dvi. Versión publicada

Braided Hopf algebras over non-abelian groups (with M. Graña). Bol. Acad. Nacional de Ciencias (Córdoba) 63, 45-78 (1999). dvi.

Compact quantum groups arising from the FRT construction (with A. Abella). Bol. Acad. Nacional de Ciencias (Córdoba) 63, 15-44 (1999). pdf.

Lifting of quantum linear spaces and pointed Hopf algebras of order p³ (with H.-J. Schneider). J. Algebra 209, 658-691 (1998). Versión publicada.

Plancherel identity for semisimple Hopf algebras (with S. Natale). Commun. Alg. 25 (10), 3239-3254 (1997) (MR 99a:16029). pdf

Hopf algebras of order p² and braided Hopf algebras of order p (with H.-J. Schneider). J. Algebra 199, 430-454 (1998) (MR 99c:16033). Versión publicada.

Notas de geometría no conmutativa. Boletín Academia Nacional de Ciencias (Córdoba) vol. 61 (1995), pp. 63-82.

Compact involutions of semisimple quantum groups. Czech. J. Phys., vol. 44 (1994) pp. 963-972 (MR 96g:16050). pdf. Versión publicada.

Notes on Extensions of Hopf algebras. Canadian J. of Math. 48 (1996), pp. 3-42 (MR 97c:16046). Appendix (With H.-J. Schneider). Versión publicada.

Extensions of Hopf algebras (with J. Devoto). Algebra i Analiz 7, no. 1 (1995), pp. 22-61 (MR 96f:16044). Versión publicada.

Quantum Heisenberg groups and Sklyanin algebras (with J. Devoto and A.Tiraboschi). Letters in Math. Phys. 31, pp. 167-177, 1994. (MR 95i:17009). Versión publicada.

Lie superbialgebras and Poisson Lie supergroups. Abh. Math. Semin. Univ. Hamb. 63, pp. 147-163, 1993 (MR 94g:17004). Versión publicada.

Examples of compact matrix pseudogroups arising from the twisting operation (with B. Enriquez). Commun. Math. Phys., 149, p. 195, 1992 (MR 93k:17022). Versión publicada.

Some exceptional compact matrix pseudogroups . Bull. Soc. Math. Fr., 120, p. 297-325, 1992 (MR 93k:17023). Versión publicada

On spherical modules. In Proc. of the Third Workshop on Lie Group Repr. and its appl., Carlos Paz, 1989. (Progress in Math. 105, Birkhauser.) (MR 93i:20047).

On the realization of forms of Kac-Moody algebras. Indag. Mathem. N.S., 2(3), 275-281, 1991 (MR 93f:17036). Versión publicada.

The representation theory of almost compact inner forms of Kac-Moody algebras. Tôhoku Math. J., vol. 43 n. 3 p. 425-445, 1991 (MR 93c:17011). Versión publicada.

Some forms of Kac-Moody algebras. J. of Algebra vol. 147, p. 324- 344, 1992 (MR 93j: 17048). Apéndice por N. A. y G. Rousseau. Versión publicada.

A restriction theorem for modules having a spherical submodule (with J. Tirao). Trans. AMS, vol. 331, p. 705-725, 1992 (MR 92h:14034). Versión publicada.

Computing some rings of invariants. Actas de la IX Esc. Latinoamer. de Matemática, Notas de Matematica Soc. Mat. Chile vol. IX, núm. 1, pp. 1-18, 1991 (MR 95f:13006).

A new proof of Tirao's Restriction Theorem. Rev. Unión Mat. Argent., Vol. 35 (dedicado al Prof. J. Rey Pastor), pp. 19-26, 1991. (MR 95a:22016). Versión publicada.

On the Complicatedness of the pair (g, K). Rev. Mat. Univ. Complutense Madr., Vol. 2, n. 1, pp. 13-28, 1989 (MR 90b:14064). Ver comentarios de F. Knop sobre este trabajo. Versión publicada

Sur les Algèbres de polynômes graduées. C. R. Acad. Sci. Paris, t. 1308, Serie I, p. 63-65, 1989 (MR 90a:13013). Versión publicada.

Otras publicaciones / Other articles

Mitsuhiro Takeuchi. Survey of braided Hopf algebras. New trends in Hopf algebra theory (La Falda, 1999), 301--323, Contemp. Math., 267, Amer. Math. Soc., Providence, RI, 2000. pdf

Hans-Jürgen Schneider. hanssch at rz.mathematik.uni-muenchen.de

Lectures on Hopf algebras. Trabajos de Matemática 31/95. FaMAF. pdf tex dvi.

Akira Masuoka. akira@math.tsukuba.ac.jp Foto

Extensions of Hopf algebras. Trabajos de Matemática 41/99. FaMAF. ps.

Eric Müller. eric.mueller@akdb.de

Computation of Bilinear forms. A C++ program for Nichols algebras; Documentation of the program in plain TeX.

Volver a la página de bienvenida.