Representations of linear groups over \(\widetilde{A}_2\)-algebras

Representations of linear groups over \(\widetilde{A}_2\)-algebras

In the space of irreducible unitary representations of a linear group over an algebra of type \(\widetilde{A}_2\)  an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear g...

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Date:2018
Main Author: Timoshin, Anatoliy S.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
unitary representations
linear groups
Euclidean algebras
matrix problems
small reduction
20G05,22E45,16G20
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1005
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1005
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-10052018-05-15T06:07:40Z Representations of linear groups over \(\widetilde{A}_2\)-algebras Timoshin, Anatoliy S. unitary representations, linear groups, Euclidean algebras, matrix problems, small reduction 20G05,22E45,16G20 In the space of irreducible unitary representations of a linear group over an algebra of type \(\widetilde{A}_2\)  an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear group. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1005 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1005/534 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-15T06:07:40Z
collection OJS
language English
topic unitary representations
linear groups
Euclidean algebras
matrix problems
small reduction
20G05,22E45,16G20
spellingShingle unitary representations
linear groups
Euclidean algebras
matrix problems
small reduction
20G05,22E45,16G20
Timoshin, Anatoliy S.
Representations of linear groups over \(\widetilde{A}_2\)-algebras
topic_facet unitary representations
linear groups
Euclidean algebras
matrix problems
small reduction
20G05,22E45,16G20
format Article
author Timoshin, Anatoliy S.
author_facet Timoshin, Anatoliy S.
author_sort Timoshin, Anatoliy S.
title Representations of linear groups over \(\widetilde{A}_2\)-algebras
title_short Representations of linear groups over \(\widetilde{A}_2\)-algebras
title_full Representations of linear groups over \(\widetilde{A}_2\)-algebras
title_fullStr Representations of linear groups over \(\widetilde{A}_2\)-algebras
title_full_unstemmed Representations of linear groups over \(\widetilde{A}_2\)-algebras
title_sort representations of linear groups over \(\widetilde{a}_2\)-algebras
description In the space of irreducible unitary representations of a linear group over an algebra of type \(\widetilde{A}_2\)  an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear group.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1005
work_keys_str_mv AT timoshinanatoliys representationsoflineargroupsoverwidetildea2algebras
first_indexed 2025-07-17T10:32:14Z
last_indexed 2025-07-17T10:32:14Z
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