%0 Journal Article %T Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes in PSL(n,q) %A Nicol¨¢s Andruskiewitsch %A Giovanna Carnovale %A Gast¨®n Andr¨¦s Garc¨ªa %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1312.6238v2