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Algebra and Discrete Mathematics, 2004, Issue 3, Pages 60–70
(Mi adm348)
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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.
Citation:
Ekaterina Jushenko, “On decompositions of affine Coxeter groups in semi-direct products”, Algebra Discrete Math., 2004, no. 3, 60–70
Linking options:
https://www.mathnet.ru/eng/adm348 https://www.mathnet.ru/eng/adm/y2004/i3/p60
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Statistics & downloads: |
Abstract page: | 157 | Full-text PDF : | 88 | First page: | 1 |
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