Some results on Hopf algebras attached to group schemes

On the Coderivations of Some Hopf Algebras

Terwilliger Algebras of Some Group Association Schemes

The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the nite groups PSL(2, 7), A6, and S6.

Some Remarks on Producing Hopf Algebras

We report some observations concerning two well-known approaches to construction of quantum groups. Thus, starting from a bialgebra of inhomogeneous type and imposing quadratic, cubic or quartic commutation relations on a subset of its generators we come, in each case, to a q-deformed universal enveloping algebra of a certain simple Lie algebra. An interesting correlation between the order of i...

on the coderivations of some hopf algebras

Some Applications of Frobenius Algebras to Hopf Algebras

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 ...