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Title: | The Frobenius morphism in invariant theory II | Authors: | RAEDSCHELDERS, Theo SPENKO, Spela VAN DEN BERGH, Michel |
Issue Date: | 2022 | Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Source: | ADVANCES IN MATHEMATICS, 410 (Art N° 108587) | Abstract: | Let R be the homogeneous coordinate ring of the Grassman-nian G = Gr(2, n) defined over an algebraically closed field k of characteristic p >= max{n - 2, 3}. In this paper we give a description of the decomposition of R, considered as graded Rpr-module, for r >= 2. This is a companion paper to [16], where the case r = 1 was treated, and taken together, our results imply that R has finite F-representation type (FFRT). Though it is expected that all rings of invariants for reductive groups have FFRT, ours is the first non-trivial example of such a ring for a group which is not linearly reductive. As a corollary, we show that the ring of differential operators Dk(R) is simple, that G has global finite F-representation type (GFFRT) and that R provides a noncommutative resolution for Rpr . (c) 2022 Published by Elsevier Inc. | Notes: | Spenko, S (corresponding author), Vrije Univ Brussel, Dept Wiskunde, Pleinlaan 2, B-1050 Elsene, Belgium. theo.raedschelders@vub.be; spela.spenko@vub.be; michel.vandenbergh@uhasselt.be |
Keywords: | Invariant theory;Frobenius kernel;Frobenius summand;FFRT | Document URI: | http://hdl.handle.net/1942/38922 | ISSN: | 0001-8708 | e-ISSN: | 1090-2082 | DOI: | 10.1016/j.aim.2022.108587 | ISI #: | 000877499500005 | Rights: | 2022 Published by Elsevier Inc. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
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The Frobenius morphism in invariant theory II.pdf Restricted Access | Published version | 878.22 kB | Adobe PDF | View/Open Request a copy |
ffrtii.pdf Until 2024-12-03 | Peer-reviewed author version | 881.84 kB | Adobe PDF | View/Open Request a copy |
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