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arXiv:1010.1606 [math.AC]AbstractReferencesReviewsResources

Good filtrations and strong $F$-regularity of the ring of $U_P$-invariants

Mitsuyasu Hashimoto

Published 2010-10-08Version 1

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 $S$=\textyen $Sym V$ has a good filtration, then the ring of invariants $S^{U_P}$ is strongly $F$-regular.

Comments: 37 pages
Categories: math.AC, math.RT
Subjects: 13A50, 13A35
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