Publicaciones / Papers


  1. Representations of pointed Hopf algebras over S3. Revista de la Unión Matemática Argentina 51 (1)  (2010) pp. 51--78.  Available at arXiv:0912.4081v1.

  2. Finite dimensional pointed Hopf algebras over S4. Joint work with Gastón García. Israel Journal of Mathematics 183 (2011), 417--444. Available at arXiv:0904.2558v2.

  3. Pointed Hopf algebras with standard braiding are generated in degree one. Joint work with Iván Angiono. Contemporary Mathematics 537 (2011). Available at  arXiv:1004.3312v1.

  4. Representations of the category of modules over pointed Hopf algebras over S3 and S4. Joint work with Martín Mombelli. Pacific Journal of Mathematics, 252 (2) (2011), pp. 343–378. Available at  arXiv:1006.1857v5.

  5. From Hopf algebras to tensor categories. Joint work with Nicolás Andruskiewitsch, Iván Angiono, Blas Torrecillas and Cristian Vay. 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. Available at arXiv:1204.5807v1.

  6. Lifting via cocycle deformation. Joint work with Nicolás Andruskiewitsch, Iván Angiono, Akira Masuoka and Cristian Vay. J. Pure Appl. Alg. Volume 218, Issue 4, April 2014, Pages 684-703. Available at arXiv:1212.5279.

  7. Finite-dimensional Pointed or Copointed Hopf algebras over affine racks. Joint work with Cristian Vay. J. Algebra 397, 379-406 (2014). Available at arXiv:1210.6396. See the LOG and GAP files.

  8. θ-semisimple twisted conjugacy classes of type D in PSLn(q). Joint work with Giovanna Carnovale. J. Lie Theory (26) 1 (2016). Available at arXiv:1501.07638.

  9. Liftings of Nichols algebras of diagonal type I. Cartan type A. Joint work with Nicolás Andruskiewitsch and Iván Angiono. Int. Math. Res. Notices (2016) doi: 10.1093/imrn/rnw103. Available at arXiv:1509.01622; see also the published version.

  10. Twisting Hopf algebras from cocycle deformations. Joint work with Nicolás Andruskiewitsch. Ann. Univ. Ferrara 63 (2), 221-247 (2017) doi: 10.1007/s11565-016-0264-9. Available at arXiv:1512.01696.

  11. An explicit description of the second cohomology group of a quandle. Joint work with Leandro Vendramin. Mathematische Zeitschrift, 286 (3), 1041-1063 (2017). Available at arXiv:1512.01262.

  12. Liftings of Nichols algebras of diagonal type III. Cartan type G2. Joint work with Joao Matheus Jury Giraldi. J. Algebra 478, 506-568 (2017). Available at arXiv:1607.07857. See the LOG and GAP files. Published version.

  13. Copointed Hopf algebras over S₄. Joint work with Cristian Vay. Journal of pure and applied algebra, Vol. 222, Issue 9, pp. 2784-2809 (2018). See the LOG and GAP files. doi.

  14. Liftings of Nichols algebras of diagonal type II. All liftings are cocycle deformations. Joint work with Iván Angiono. Selecta Math. (2019). doi: 10.1007/s00029-019-0452-4. Selecta Math. (N.S.) 25 (2019), no. 1, Paper No. 5, 95 pp. See the LOG and GAP files.

  15. Pointed Hopf algebras: a guided tour to the liftings. Joint work with Iván Angiono. Revista Colombiana de Matemáticas: Proceedings of "XXII CLA Coloquio Latinoamericano de Algebra" (2019). Available at arXiv:1807.07154. See the LOG and GAP files.

  16. Hopf-Galois structures on ambiskew polynomial rings. Joint work with Julien Bichon. J. Noncommut. Geom. 15 (2021), no. 4, 1409–1431. Available at arXiv:1910.14363.

  17. Examples of liftings of modular and unidentified type: ufo(7,8) and br(2,a). Joint work with Edwin Pachecho Rodríguez. J. Alg. and its Appl. (2020). Available at arXiv:1912.11413. See the LOG and GAP files.

  18. On finite GK-dimensional Nichols algebras of diagonal type: rank 3 and Cartan type. Joint work with Iván Angiono. Publicacions Matemàtiques, Volume 67, Issue 2 pp. 757-793 (2023). Available at arXiv:2106.10143. See the LOG and GAP files.

  19. On the computation of Hopf 2-cocycles, with an example of diagonal type. Joint work with José Ignacio Sánchez. Glasgow Mathematical Journal 65, Issue 1, pp. 141--169 (2023) Available at arXiv:2108.11432v2.

  20. Hopf cocycles associated to pointed and copointed deformations over S3. Joint work with José Ignacio Sánchez. Communications in Algebra. In press (2025). Available at arXiv:2203.16342. See the LOG and GAP files.

  21. Finite GK-dimensional Nichols algebras of diagonal type and finite root systems. Joint work with Iván Angiono. Indiana University Mathematics Journal. In Press (2024) Available at arXiv:2212.08169. See the LOG and GAP files.

  22. On the representations of a family of pointed Hopf algebras. Joint work with Alfio Antonio Rodriguez. Available at arXiv:2403.08945.

  23. Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps. Joint work with Julien Bichon. Available at arXiv:2410.19325.