Can I read Rank Varieties for Hopf Algebras on EtoBox?

Rank Varieties for Hopf Algebras by Towers, Matthew; Scherotzke, Sarah is a scholarly article available to read on EtoBox.

What is Rank Varieties for Hopf Algebras about?

We construct rank varieties for the Drinfel'd double of the Taft algebra and for U_q(sl2). For the Drinfel'd double when n=2 this uses a result which identifies a family of subalgebras that control projectivity of A-modules whenever A is a Hopf algebra satisfying a certain homological condition. In this case we show that our rank variety is homeomorphic to the cohomological support variety. We also show that Ext^*(M,M) is finitely generated over the cohomology ring of the Drinfel'd double for any finitely-generated module M.

Author

Towers, Matthew; Scherotzke, Sarah

Published

2009

Language

EN