Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588694 | Journal of Algebra | 2007 | 32 Pages |
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.
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