Temas de interés: álgebras de Hopf, álgebras de Nichols, pecios *.

Research interests: Hopf algebras, Nichols algebras, racks.

 

Publicaciones / Publications

- On finite-dimensional copointed Hopf algebras over dihedral groups, (with G. A. García and M. Mastnak). Abstract and file (preprint): arXiv:1608.06167

- Conjugacy classes of p-cycles of type D in alternating groups, Comm. Algebra 42 (2014), no. 10, 4426-4434. Abstract and file (preprint): arXiv:1211.6293

- On twisted conjugacy classes of type D in sporadic simple groups. (With L. Vendramin), Contemp. Math. 585 (2013) 247-259. Abstract and file (preprint): arXiv:1107.0310
The logs can be found here.

- On twisted homogeneous racks of type D. (With N. Andruskiewitsch, G. A. García and L. Vendramin). Rev. Un. Mat. Argentina 51 2 (2010) 1-16. Abstract and file (preprint): arXiv:1007.1739v1.

- On Nichols algebras associated to simple racks. (With N. Andruskiewitsch, G. A. García and L. Vendramin). Groups, Algebras and Applications, Contemp. Math. 537, Amer. Math. Soc., Providence, RI, (2011) 31-56. Abstract and file (preprint): arXiv:1006.5727.

- On pointed Hopf algebras over dihedral groups. (With G. A. García). Pacific J. Math., 252 1 (2011), 69-91. Abstract and file (preprint): arXiv:1007.0227.

- Pointed Hopf algebras over the sporadic simple groups. (With N. Andruskiewitsch, M. Graña and L. Vendramin). J. Algebra 325 1 (2011) 305-320. Abstract and file (preprint): arXiv:1001.1108.

- The logbook of Pointed Hopf algebras over the sporadic simple groups. (With N. Andruskiewitsch, M. Graña and L. Vendramin). J. Algebra 325 1 (2011) 282-304. Abstract and file (preprint): arXiv:1001.1113. More information here.

- Pointed Hopf algebras over some sporadic simple groups. (With N. Andruskiewitsch, M. Graña and L. Vendramin). C. R. Math. Acad. Sci. Paris, 348 (2010) 605-608.

- Finite-dimensional pointed Hopf algebras with alternating groups are trivial. (With N. Andruskiewitsch, M. Graña and L. Vendramin). Ann. Mat. Pura Appl. (4) 190 2 (2011) 225-245. Abstract and file (preprint): arXiv:0812.4628.

- On pointed Hopf algebras associated with the symmetric groups. (With N. Andruskiewitsch and Shouchuan Zhang). Manuscripta Math. 128 3 (2009) 359-371. Abstract and file (preprint): arXiv:0807.2406.

- New techniques for pointed Hopf algebras. (With N. Andruskiewitsch). New developments in Lie theory and geometry, Contemp. Math. 491 (2009) 323-348. Abstract and file (preprint): arXiv:0803.3486.

- On pointed Hopf algebras associated with the Mathieu simple groups. J. Algebra Appl. 8 5 (2009) 633-672. Abstract and file (preprint): arXiv:0711.3142. Preprint of an article submitted for consideration in J. Algebra Appl. 2009 © World Scientific Publishing Company, http://www.worldscinet.com/jaa/

Computation with GAP available here.

- On pointed Hopf algebras associated with alternating and dihedral groups. (With N. Andruskiewitsch). Rev. Un. Mat. Argentina 48 3 (2007) 57-71. Abstract and file (preprint): math.QA/0702559.

- On pointed Hopf algebras associated with unmixed conjugacy classes in Sm. (With N. Andruskiewitsch). J. Math. Phys. 48 (2007) 033502 1-26. Abstract and file (preprint): math.QA/0608701.

 

 

Otros / Others

Álgebras de Hopf punteadas sobre grupos no abelianos, Tesis de Doctorado, Fa.M.A.F., Universidad Nacional de Córdoba (Marzo de 2008). pdf dvi

Soluciones conjuntistas de la ecuación cuántica de Yang-Baxter, Trabajo Especial (Licenciatura), Fa.M.A.F., Universidad Nacional de Córdoba (Diciembre de 2002). pdf