Professor Alexander Stasinski alexander.stasinski@durham.ac.uk
Professor
Representations of reductive groups over finite local rings of length two
Stasinski, Alexander; Vera-Gajardo, Andrea
Authors
Andrea Vera-Gajardo
Abstract
LetFqbe a finite field of characteristicp, and letW2(Fq)be thering of Witt vectors of length two overFq. We prove that for any reduc-tive group schemeGoverZsuch thatpis very good forG×Fq, the groupsG(Fq[t]/t2)andG(W2(Fq))have the same number of irreducible representa-tions of dimensiond, for eachd. Equivalently, there exists an isomorphism ofgroup algebrasC[G(Fq[t]/t2)]∼=C[G(W2(Fq))].
Citation
Stasinski, A., & Vera-Gajardo, A. (2019). Representations of reductive groups over finite local rings of length two. Journal of Algebra, 525, 171-190. https://doi.org/10.1016/j.jalgebra.2018.11.039
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 14, 2018 |
Online Publication Date | Dec 14, 2018 |
Publication Date | May 1, 2019 |
Deposit Date | Dec 27, 2018 |
Publicly Available Date | Dec 14, 2019 |
Journal | Journal of Algebra |
Print ISSN | 0021-8693 |
Electronic ISSN | 1090-266X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 525 |
Pages | 171-190 |
DOI | https://doi.org/10.1016/j.jalgebra.2018.11.039 |
Public URL | https://durham-repository.worktribe.com/output/1311145 |
Files
Accepted Journal Article
(533 Kb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2019 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
You might also like
A uniform proof of the finiteness of the class group of a global field
(2021)
Journal Article
Representation growth of compact linear groups
(2019)
Journal Article
The algebraisation of higher Deligne–Lusztig representations
(2017)
Journal Article
Commutators of trace zero matrices over principal ideal rings
(2018)
Journal Article
The regular representations of GLN over finite local principal ideal rings
(2017)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search