2010/08/24 by Lorenz, Martin · 1 citation
#16T20 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1008.4054
This expository article presents a unified ring theoretic approach, based on the theory of Frobenius algebras, to a variety of results on Hopf algebras. These include a theorem of S. Zhu on the degrees of irreducible representations, the so-called class equation, the determination of the semisimplicity locus of the Grothendieck ring, the spectrum of the adjoint class and a non-vanishing result for the adjoint character.