Tensor ideals and varieties for modules of quantum elementary abelian groups

Abstract

In a previous paper we constructed rank and support variety theories for "quantum elementary abelian groups," that is, tensor products of copies of Taft algebras. In this paper we use both variety theories to classify the thick tensor ideals in the stable module category, and to prove a tensor product property for the support varieties.

15 pages, minor corrections to Section 4, to appear in Proceedings of the American Mathematical Society