Support varieties for Weyl modules over bad primes

University of Georgia VIGRE Algebra Group (2007) Support varieties for Weyl modules over bad primes. Journal of Algebra, 312 (2). pp. 602-633. ISSN 0021-8693

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
?? COHOMOLOGYSUPPORT VARIETIESWEYL MODULESALGEBRA AND NUMBER THEORY ??
ID Code:
135617
Deposited By:
Deposited On:
22 Jul 2019 08:50
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Sep 2023 00:57