Good filtrations and strong F-regularity of the ring of U P-invariants

Mitsuyasu Hashimoto

doi:10.1016/j.jalgebra.2012.07.045

Good filtrations and strong F-regularity of the ring of U _P-invariants

Mitsuyasu Hashimoto

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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=SymV has a good filtration, then S ^UP is strongly F-regular.

Original language	English
Pages (from-to)	198-220
Number of pages	23
Journal	Journal of Algebra
Volume	370
DOIs	https://doi.org/10.1016/j.jalgebra.2012.07.045
Publication status	Published - Nov 15 2012

Keywords

F-regular
Good filtration
Invariant subring

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2012.07.045

Cite this

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abstract = "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=SymV has a good filtration, then S UP is strongly F-regular.",

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KW - Invariant subring

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