Articles of Sonia Natale
Publications; Articles
in Press
- Finite quantum groups and
quantum permutation groups (with T. Banica and J. Bichon),
to appear in Adv. Math. Preprint arXiv:1104.1400.
- On fusion categories with few
irreducible degrees (with J. Plavnik), to appear in
Algebra Number Theory.
Preprint arXiv:1103.2340.
- On quasitriangular structures
in Hopf algebras arising from exact group factorizations,
Commun. Algebra 39, 4763-4775
(2011). Special Issue in Honour of Mia Cohen.
Preprint arXiv:1009.4659.
- Semisimple Hopf algebras and
their representations, to appear in Publ. Mat. Uruguay. pdf
- Exact sequences of tensor
categories (with Alain Bruguières), Int.
Math. Res. Not. 2011
(24), 5644-5705 (2011).
Preprint arXiv:1006.0569.
- Hopf algebra deformations of
binary polyhedral groups (with Julien Bichon), Transform. Groups
16 (2) 339-374
(2011).
Preprint arXiv:0907.1879v1.
- Semisimple Hopf algebras of
dimension 60, J. Algebra 324 (11),
3017-3034
(2010).
Special
Issue
in
Honour
of
Susan
Montgomery.
Preprint
arXiv:0911.
4943v1.
- Hopf algebra extensions of
group algebras and Tambara-Yamagami categories, Algebr.
Represent. Theory 13 (6),
(2010). Preprint arXiv:0805.3172v1.
- The structure of double
groupoids (with N. Andruskiewitsch), J. Pure Appl.
Algebra 213 (2009), 1031-1045. Preprint arXiv:math/0602497v2. Preprint
IHES M/0613.
- Normal Hopf subalgebras in
cocycle
deformations of finite groups (with C. Galindo), Manuscripta
Math. 125 (2008), 501-514. Preprint arXiv:0708.3407.
- Simple Hopf algebras and
deformations of finite groups (with C. Galindo), Math. Res.
Lett. 14 (5-6), 943--954 (2007). Preprint arXiv:math/0608734v2
- R-matrices and Hopf algebra
quotients, Int. Math. Res. Not. 2006, 1--18 (2006). Preprint arXiv:math/0605731v1.
- On the exponent of tensor
categories coming from finite groups, Israel J.
Math. 162, 253--273 (2007). Preprint arXiv:math/0511123v1.
- Tensor
categories and vacant double groupoids
(with J. M. Mombelli), Math. Res. Lett. 14 (1), 1-18 (2007).
Preprint arXiv:math/0509052v1.
- Tensor categories attached to double groupoids
(with N.
Andruskiewitsch). Advances in
Mathematics 200 (2), 539--583
(2006). Preprint arXiv:math/0408045v2.
- Frobenius-Schur indicators for a class of fusion categories.
Pacific
J.
Math.
221 (2),
353--378 (2005). Preprint arXiv:math/0312466v2.
- Double categories and quantum groupoids (with N.
Andruskiewitsch). Publ. Mat. Uruguay 10,
Homenaje a A. Jones, 11--51 (2005).
Preprint arXiv:math/0308228v2.
- Semisolvability of semisimple Hopf algebras of low dimension.
Memoirs
Amer.
Math.
Soc. 186,
123 pp. (2007) pdf.
Preprint
arXiv:math/0305038v2.
- On semisimple Hopf algebras of low dimension. AMA
Algebra
Montp.
Announc.
01 (2003). Paper No. 6.
- Braided Hopf algebras arising from matched pairs of
groups
(with N. Andruskiewitsch). J. Pure Appl. Algebra 132, (2-3)119--149
(2003).
Preprint arXiv:math/0209210v2.
- On group theoretical Hopf algebras and exact factorizations
of
finite
groups. J. Algebra 270, 199--211
(2003).
Preprint arXiv:math/0208054v1.
- On semisimple Hopf algebras of dimension pqr.
Algebr.
Represent.
Theory
7,
no. 2, 173-188 (2004). dvi.tex.
- Quasitriangular Hopf algebras of dimension pq.
Bulletin of
the London Math. Soc. 34 (3), 301--307 (2002). dvi. tex.
- Hopf algebras of dimension 12 . Algebr. Represent.
Theory 5 (5),
445--455 (2002). dvi. tex.
- Counting arguments for Hopf algebras of low dimension
(with N.
Andruskiewitsch). Tsukuba
J.
Math. 25 (1), 187-201 (2001). dvi.tex.
- Harmonic analysis on semisimple Hopf algebras (with
N. Andruskiewitsch).
Algebra i Analiz 12 (5), 3--27 (2000); St. Petersbg. Math. J. 12
(5), 713--732 (2001). ps.
- On semisimple Hopf algebras of dimension pq2,
II.
Algebr. Represent. Theory 4 (3), 277--291 (2001). texdvi.
- On semisimple Hopf algebras of dimension pq2.
J.
Algebra
221 (1), 242-278 (1999). texdvi.
- Examples of self-dual Hopf algebras (with N. A.). J.
Math.
Sci.
Univ. Tokyo 6 (1), 181-215 (1999). texdvi.
- Plancherel identity for semisimple Hopf algebras (with
N.
A.).
Commun. Alg. 25 (10), 3239-3254 (1997). pdf.
Preprints
- Central exact sequences of
tensor categories, equivariantization and applications (with
Alain Bruguières), submitted. Preprint arXiv:1112.3135.
- Faithful simple objects, orders
and gradings of fusion categories, submitted. Preprint arXiv:1110.1686.
Lecture Notes
- Sonia Natale, Álgebras
de Hopf y
categorías tensoriales. Trabajos de Matemática B 04/47.
FaMAF.
Notas
de
curso
II
Encuentro
Nacional de
Álgebra, La Falda, Agosto 2004.
- Sonia Natale, Sobre el problema
de
clasificación
de las álgebras de Hopf semisimples. Notas
de curso VI
Encuentro Rioplatense de Álgebra y Geometría Algebraica,
Montevideo,
Junio
2000.
Unpublished Monographs
- Álgebras de Hopf semisimples, Tesis de
Doctorado,
Fa.M.A.F.,
Universidad Nacional de Córdoba (1999).
- Representaciones de álgebra de Lie semisimples,
Trabajo
de Seminario, Universidad Nacional del Centro de la Provincia de Buenos
Aires (1995).