Support Varieties for Frobenius Kernels of Classical Groups

Abstract

Let G be a simple classical algebraic group over an algebraically closed field of positive characteristic. We describe the support variety of a simple G-module over the r-th Frobenius kernel of G, in terms of its calculation over the first Frobenius kernel. We then use this result to compute the block varieties of the Frobenius kernels of G.

12 pages, final version

References in corpus (1)

• Differentiating the Weyl generic dimension formula and support varieties for quantum groups