Support Varieties for Frobenius Kernels of Classical Groups

2012/01/13 by Paul Sobaje, Sobaje, Paul · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1201.2734

12 pages, final version

openalex publication_date 2012/01/13 · arxiv created 2012/09/26 · arxiv updated 2012/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Invariants for \mathbb G_(r)-modules

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