Leandro Vendramin

Publications

• Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent
  Accepted for publication in Proc. Amer. Math. Soc.
• On the classification of quandles of low order
  J. Knot Theory Ramifications 21 (2012), no. 9, 1250088
• Braided racks, Hurwitz actions and Nichols algebras with many cubic relations (with I. Heckenberger, A. Lochmann)
  Transform. Groups 17 (2012), no. 1, 157-194
• Nichols algebras of group type with many quadratic relations (with M. Graña, I. Heckenberger)
  Adv. Math. 227 (2011), no. 5, 1956-1989
• Pointed Hopf algebras over the sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M. Graña)
  J. Algebra 325 (1) (2011) 305-320, logs
  
• The logbook of Pointed Hopf algebras over the sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M. Graña)
  J. Algebra 325 (1) (2011) 282-304
• Finite-dimensional pointed Hopf algebras with alternating groups are trivial (with N. Andruskiewitsch, F. Fantino, M. Graña)
  Ann. Mat. Pura Appl. (4) 190 (2011), no. 2, 225-245
• Pointed Hopf algebras over some sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M. Graña)
  C. R. Math. Acad. Sci. Paris 348 (2010) 605-608
• On Nichols algebras over PGL(2,q) and PSL(2,q) (with S. Freyre, M. Graña)
  J. Algebra Appl., Vol. 9, No. 2 (2010) 195-208, logs
• On Nichols algebras over SL(2,q) and GL(2,q) (with S. Freyre, M. Graña)
  J. Math. Phys. 48, 123513 (2007)

Proceedings

• On Nichols algebras associated to simple racks (with N. Andruskiewitsch, F. Fantino, G. García)
  Groups, Algebras and Applications, Contemp. Math. 537 (2011) 31-56
• On twisted homogeneous racks of type D (with N. Andruskiewitsch, F. Fantino, G. García)
  The Humboldt Kolleg Colloquium on Hopf Algebras, Quantum Groups and Tensor Categories, Rev. Un. Mat. Argentina 51 2(2010) 1-16

Preprints

• On twisted conjugacy classes of type D in sporadic simple groups (with F. Fantino), logs
  

Software

Mathematics

• Rig (with M. Graña). A GAP package for racks, quandles, and Nichols algebras
  
• Python/Sage script for Nichols algebras and derivations
  
• Sarna (with M. Graña and I. Heckenberger)
  Software written in Python to calculate the Arithmetic Root System associated to a braid of diagonal type
  

Just for fun

• pysolita, simple solitaire game written in Python. Requires Pygame, screenshot
• tetris4sdl, my own tetris game written in C. Requires SDL, screenshot

Links

Mathematics

• Nichols algebras over non-abelian groups

Personal homepages

• Nicolás Andruskiewitsch
• Iván Angiono
• Fernando Fantino
• Agustín García Iglesias
• Gastón García
• Matías Graña
• István Heckenberger
• Andreas Lochmann

Software

• GAP System for Computational Discrete Algebra
• Sage: Open Source Mathematics Software
• GBNP, GAP Package for Gröbner Bases for Non-commutative Polynomials, Documentation
• Atlas of finite group representations (version 3)

Updated: 3/2012