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http://hdl.handle.net/1942/38922
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DC Field | Value | Language |
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dc.contributor.author | RAEDSCHELDERS, Theo | - |
dc.contributor.author | SPENKO, Spela | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2022-11-24T08:53:45Z | - |
dc.date.available | 2022-11-24T08:53:45Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2022-11-18T12:36:49Z | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS, 410 (Art N° 108587) | - |
dc.identifier.uri | http://hdl.handle.net/1942/38922 | - |
dc.description.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. | - |
dc.description.sponsorship | EPSRC postdoctoral fellowship [EP/R005214/1]; FWO [PEGASUS]2 Marie Skłodowska-Curie fellow at the Free University of Brussels (funded by the European Union Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 665501 with the Research Foundation Flanders (FWO)). During part of this work she was also a postdoc with Sue Sierra at the University of Edinburgh; the Research Foundation Flanders (FWO). While working on this project he was supported by the FWO grant G0D8616N: “Hochschild cohomology and deformation theory of triangulated categories”. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | 2022 Published by Elsevier Inc. | - |
dc.subject.other | Invariant theory | - |
dc.subject.other | Frobenius kernel | - |
dc.subject.other | Frobenius summand | - |
dc.subject.other | FFRT | - |
dc.title | The Frobenius morphism in invariant theory II | - |
dc.type | Journal Contribution | - |
dc.identifier.volume | 410 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Spenko, S (corresponding author), Vrije Univ Brussel, Dept Wiskunde, Pleinlaan 2, B-1050 Elsene, Belgium. | - |
dc.description.notes | theo.raedschelders@vub.be; spela.spenko@vub.be; | - |
dc.description.notes | michel.vandenbergh@uhasselt.be | - |
local.publisher.place | 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.artnr | 108587 | - |
local.type.programme | H2020 | - |
local.relation.h2020 | 665501 | - |
dc.identifier.doi | 10.1016/j.aim.2022.108587 | - |
dc.identifier.isi | 000877499500005 | - |
local.provider.type | wosris | - |
local.description.affiliation | [Raedschelders, Theo; Spenko, Spela; Van den Bergh, Michel] Vrije Univ Brussel, Dept Wiskunde, Pleinlaan 2, B-1050 Elsene, Belgium. | - |
local.description.affiliation | [Van den Bergh, Michel] Univ Hasselt, Dept WNI, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.uhasselt.international | no | - |
item.embargoEndDate | 2024-12-03 | - |
item.fullcitation | RAEDSCHELDERS, Theo; SPENKO, Spela & VAN DEN BERGH, Michel (2022) The Frobenius morphism in invariant theory II. In: ADVANCES IN MATHEMATICS, 410 (Art N° 108587). | - |
item.accessRights | Embargoed Access | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2023 | - |
item.contributor | RAEDSCHELDERS, Theo | - |
item.contributor | SPENKO, Spela | - |
item.contributor | VAN DEN BERGH, Michel | - |
crisitem.journal.issn | 0001-8708 | - |
crisitem.journal.eissn | 1090-2082 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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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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