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arXiv · 1201.2734

Support Varieties for Frobenius Kernels of Classical Groups

Paul Sobaje
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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.

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Paul Sobaje. 2012-09-26. Support Varieties for Frobenius Kernels of Classical Groups. https://arxiv.org/abs/1201.2734

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