Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/38922
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
Appears in Collections:Research publications

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