Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSLn(q)

[摘要] We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses. (C) 2014 Elsevier Inc. All rights reserved.

[发布日期] 2015-11-15

[效力级别]  Proceedings Paper

[关键词] Nichols algebra;Yetter-Drinfeld module;Hopf algebra;Racks;Finite groups of Lie type