Some properties of Hopf algebras attached to group varieties

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 ...

on the coderivations of some hopf algebras

Some Characterizations of Hopf Group on Fuzzy Topological Spaces

In this paper, some fundamental concepts are given relating to fuzzytopological spaces. Then it is shown that there is a contravariant functorfrom the category of the pointed fuzzy topological spaces to the category ofgroups and homomorphisms. Also the fuzzy topological spaces which are Hopfspaces are investigated and it is shown that a pointed fuzzy toplogicalspace having the same homotopy typ...

On Certain Varieties Attached to a Weyl Group Element

Let B be the variety of Borel subgroups of G. Let W be an indexing set for the set of G-orbits on B × B for the diagonal G-action. Let Ow be the G-orbit corresponding to w ∈ W. Note that W is naturally a Coxeter group with length function l(w) = dimOw − dimB. Let I be an indexing set for the set S of simple reflections of W. Let si ∈ S be the simple reflection corresponding to i ∈ I. For B ∈ B ...