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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 6, pp. 826–837, June, 2007.
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Popova, N.D., Samoilenko, Y.S. & Strilets’, O.V. On the growth of deformations of algebras associated with Coxeter graphs. Ukr Math J 59, 907–918 (2007). https://doi.org/10.1007/s11253-007-0058-4
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DOI: https://doi.org/10.1007/s11253-007-0058-4