Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Support varieties for Weyl modules over bad primes
AU - University of Georgia VIGRE Algebra Group
AU - Benson, David J.
AU - Bergonio, Philip
AU - Boe, Brian D.
AU - Chastkofsky, Leonard
AU - Cooper, Bobbe
AU - Hower, Jeremiah
AU - Hyun, Jo Jang
AU - Kujawa, Jonathan
AU - Mazza, Nadia
AU - Nakano, Daniel K.
AU - Platt, Kenyon J.
AU - Wright, Caroline
PY - 2007/6/15
Y1 - 2007/6/15
N2 - 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.
AB - 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.
KW - Cohomology
KW - Support varieties
KW - Weyl modules
U2 - 10.1016/j.jalgebra.2007.03.008
DO - 10.1016/j.jalgebra.2007.03.008
M3 - Journal article
VL - 312
SP - 602
EP - 633
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
IS - 2
ER -