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Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSL$_n(q)$
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to semisimple orbits, have infinite dimension. We introduce a new criterium to determine when a conjugacy class collapses and prove that for infinitely many pairs (n,q) , any finite-dimensional …