On Nichols algebras over SL(2,Fq) and GL(2,Fq)

Details On Nichols algebras over SL(2,Fq) and GL(2,Fq) On Nichols algebras over SL(2,Fq) and GL(2,Fq)

2007-03-16

arxiv.org/abs/math/0703498v2

J. Math. Phys. 48, 123513 (2007)

Mathematics

Quantum Algebra

Major exposition revision, including referees remarks. To appear in J. Math. Phys. 13 pages

Scientific paper

10.1063/1.2821614

We compute necessary conditions on Yetter-Drinfeld modules over the groups
SL(2,Fq) and GL(2,Fq) to generate finite dimensional Nichols algebras. This is
a first step towards a classification of pointed Hopf algebras with a group of
group-likes isomorphic to one of these groups.

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