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

2010/10/08 by Mitsuyasu Hashimoto, Hashimoto, Mitsuyasu
Mathematics · #13A35 (Secondary) #13A50 (Primary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1010.1606

openalex publication_date 2010/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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