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Algebra and Discrete Mathematics, 2004, Issue 3, Pages 60–70 (Mi adm348)  

RESEARCH ARTICLE

On decompositions of affine Coxeter groups in semi-direct products

Ekaterina Jushenko

Faculty of Cybernetics, Kiev Taras Shevchenko National University, Volodymyrska, 64, 01033, Kiev, Ukraine
Abstract: 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.
Keywords: affine Coxeter groups, representation of the semidirect products.
Bibliographic databases:
Document Type: Article
MSC: 20Cxx, 20C32, 20Fxx
Language: English
Citation: Ekaterina Jushenko, “On decompositions of affine Coxeter groups in semi-direct products”, Algebra Discrete Math., 2004, no. 3, 60–70
Citation in format AMSBIB
\Bibitem{Jus04}
\by Ekaterina~Jushenko
\paper On decompositions of affine Coxeter groups in semi-direct products
\jour Algebra Discrete Math.
\yr 2004
\issue 3
\pages 60--70
\mathnet{http://mi.mathnet.ru/adm348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2146104}
\zmath{https://zbmath.org/?q=an:1067.20049}
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