TY - JOUR AU - N. D. Popova AU - Yu. S. Samoilenko AU - O. V. Strilets PY - 2007/06/25 Y2 - 2024/03/29 TI - On the growth of deformations of algebras associated with Coxeter graphs JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 59 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3348 AB - We investigate a class of algebras that are deformations of quotient algebras of group algebras of Coxeter groups. For algebras from this class, a linear basis is found by using the “diamond lemma.” A description of all finite-dimensional algebras of this class is given, and the growth of infinite-dimensional algebras is determined. ER -