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Support varieties for Weyl modules over bad primes

Authors :
Brian D. Boe
Jeremiah Hower
Jo Jang Hyun
Jonathan R. Kujawa
Bobbe Cooper
David J. Benson
Leonard Chastkofsky
Caroline B. Wright
Daniel K. Nakano
Kenyon J. Platt
Nadia Mazza
Philip Bergonio
Source :
Journal of Algebra. 312:602-633
Publication Year :
2007
Publisher :
Elsevier BV, 2007.

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.

Details

ISSN :
00218693
Volume :
312
Database :
OpenAIRE
Journal :
Journal of Algebra
Accession number :
edsair.doi.dedup.....935f73886e6ce01fd4bc6d89e14c038b
Full Text :
https://doi.org/10.1016/j.jalgebra.2007.03.008