Good filtrations and strong F-regularity of the ring of UP-invariants

JOURNAL OF ALGEBRA

卷:370

Article

Hashimoto, Mitsuyasu

关键词: Good filtration;    F-regular;    Invariant subring;   

DOI  :  10.1016/j.jalgebra.2012.07.045

来源: Elsevier

【 摘 要 】

Let k be an algebraically closed field of positive characteristic, G a reductive group over k. and V a finite dimensional G-module. Let P be a parabolic subgroup of G, and U-P its unipotent radical. We prove that if S = Sym V has a good filtration, then S-UP is strongly F-regular. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free