Support varieties for Weyl modules over bad primes Article

Benson, DJ, Bergonio, P, Boe, BD et al. (2007). Support varieties for Weyl modules over bad primes . JOURNAL OF ALGEBRA, 312(2), 602-633. 10.1016/j.jalgebra.2007.03.008

cited authors

  • Benson, DJ; Bergonio, P; Boe, BD; Chastkofsky, L; Cooper, B; Hower, J; Hyun, JJ; Kujawa, J; Mazza, N; Nakano, DK; Platt, KJ; Wright, C

authors

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. © 2007 Elsevier Inc. All rights reserved.

publication date

  • June 15, 2007

published in

Digital Object Identifier (DOI)

start page

  • 602

end page

  • 633

volume

  • 312

issue

  • 2