On the growth of deformations of algebras associated with Coxeter graphs

• Datum: 2007
• Hauptverfasser: Popova, N. D., Samoilenko, Yu. S., Strilets, O. V., Попова, Н. Д., Самойленко, Ю. С., Стрілець, О. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3348
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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-d...