2017
Том 69
№ 6

All Issues

On the growth of deformations of algebras associated with Coxeter graphs

Popova N. D., Samoilenko Yu. S., Strilets O. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 6, pp 907-918.

Citation Example: Popova N. D., Samoilenko Yu. S., Strilets O. V. On the growth of deformations of algebras associated with Coxeter graphs // Ukr. Mat. Zh. - 2007. - 59, № 6. - pp. 826–837.

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