On decompositions of affine Coxeter groups in semi-direct products

• 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
• 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.

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.