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Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups.

Authors :
Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
Source :
Communications in Contemporary Mathematics. Aug2016, Vol. 18 Issue 4, p1. 35p.
Publication Year :
2016

Abstract

We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal with unipotent classes of general finite simple groups of Lie type and apply it to regular classes in Chevalley and Steinberg groups. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02191997
Volume :
18
Issue :
4
Database :
Academic Search Index
Journal :
Communications in Contemporary Mathematics
Publication Type :
Academic Journal
Accession number :
115055154
Full Text :
https://doi.org/10.1142/S0219199715500534