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Support varieties for Weyl modules over bad primes

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  • University of Georgia VIGRE Algebra Group
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<mark>Journal publication date</mark>15/06/2007
<mark>Journal</mark>Journal of Algebra
Issue number2
Volume312
Number of pages32
Pages (from-to)602-633
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Let G be a reductive algebraic group scheme defined over Fp and G1 be the first Frobenius kernel. For any dominant weight λ, one can construct the Weyl module V (λ). When p is a good prime for G, the G1-support variety of V (λ) was computed by Nakano, Parshall and Vella in [D.K. Nakano, B.J. Parshall, D.C. Vella, Support varieties for algebraic groups, J. Reine Angew. Math. 547 (2002) 15-49]. We complete this calculation by computing the G1-supports of the Weyl modules over fields of bad characteristic.