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.

MSC: 20Cxx, 20C32, 20Fxx

Language: English

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