Support varieties for Weyl modules over bad primes

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

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.