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Good filtrations of symmetric algebras and strong F-regularity of invariant subrings

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An Erratum to this article was published on 31 March 2006

Abstract.

In this paper, we prove that a linear action of a reductive group on a polynomial ring with good filtrations over a field of characteristic p>0 yields a strongly F-regular (in particular, Cohen-Macaulay) invariant subring. The strongly F-regular property of some known examples of invariant subrings, such as the coordinate rings of Schubert varieties in Grassmannians, are recovered. A similar result over a field of characteristic zero is also proved.

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464–8602, Japan

    Mitsuyasu Hashimoto

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  1. Mitsuyasu Hashimoto
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Correspondence to Mitsuyasu Hashimoto.

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An erratum to this article is available at http://dx.doi.org/10.1007/s00209-005-0932-4.

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Hashimoto, M. Good filtrations of symmetric algebras and strong F-regularity of invariant subrings. Math Z 236, 605–623 (2001). https://doi.org/10.1007/PL00004844

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  • DOI: https://doi.org/10.1007/PL00004844

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