On decompositions of affine Coxeter groups in semi-direct products

In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine Coxeter groups.

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Datum:2018
1. Verfasser: Jushenko, Ekaterina
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/999
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-999
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-9992018-05-15T06:07:40Z On decompositions of affine Coxeter groups in semi-direct products Jushenko, Ekaterina affine Coxeter groups, representation of the semidirect products 20Cxx, 20C32, 20Fxx In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine Coxeter groups. 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/999 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/999/528 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 affine Coxeter groups
representation of the semidirect products
20Cxx
20C32
20Fxx
spellingShingle affine Coxeter groups
representation of the semidirect products
20Cxx
20C32
20Fxx
Jushenko, Ekaterina
On decompositions of affine Coxeter groups in semi-direct products
topic_facet affine Coxeter groups
representation of the semidirect products
20Cxx
20C32
20Fxx
format Article
author Jushenko, Ekaterina
author_facet Jushenko, Ekaterina
author_sort Jushenko, Ekaterina
title On decompositions of affine Coxeter groups in semi-direct products
title_short On decompositions of affine Coxeter groups in semi-direct products
title_full On decompositions of affine Coxeter groups in semi-direct products
title_fullStr On decompositions of affine Coxeter groups in semi-direct products
title_full_unstemmed On decompositions of affine Coxeter groups in semi-direct products
title_sort on decompositions of affine coxeter groups in semi-direct products
description In this paper we study affine Coxeter groups. We show how to construct decompositions of the investigated groups into semi-direct products. We use this to give the complete list of irreducible representations of affine Coxeter groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/999
work_keys_str_mv AT jushenkoekaterina ondecompositionsofaffinecoxetergroupsinsemidirectproducts
first_indexed 2025-07-17T10:36:51Z
last_indexed 2025-07-17T10:36:51Z
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