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We show that Nichols algebras of most simple Yetter-Drinfeld modules over theprojective symplectic linear group over a finite field, corresponding tounipotent orbits, have infinite dimension. We give a criterium to deal withunipotent classes of general finite simple groups of Lie type and apply it toregular classes

Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II. Unipotent classes in symplectic groups