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

Gast\'on Andr\'es Garc\'ia; Giovanna Carnovale; Nicol\'as Andruskiewitsch

arxiv: 1312.6238 · v2 · pith:NEL3PTPHnew · submitted 2013-12-21 · 🧮 math.QA · math.GR

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

Nicol\'as Andruskiewitsch , Giovanna Carnovale , Gast\'on Andr\'es Garc\'ia This is my paper

classification 🧮 math.QA math.GR

keywords algebrasfinitenon-semisimplesimpleclassescollapsescorrespondingcriterium

0 comments

read the original abstract

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.

This paper has not been read by Pith yet.

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

discussion (0)