On the growth of deformations of algebras associated with Coxeter graphs
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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.
KeywordsPermutation Group Group Algebra Braid Group Coxeter Group Free Algebra
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