Посилання: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.
Підтримка:The author expresses her gratitude to Prof.
Yu.Samoilenko for setting the problem and permanent attention. I am
also thankful to Dr. D.Proskurin for help during the preparation of this
paper.
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.