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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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2004
Main Author: Jushenko, E.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2004
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156419
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On decompositions of affine Coxeter groups in semi-direct products / E. Jushenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 60–70. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1726-3255