On the growth of deformations of algebras associated with Coxeter graphs

被引：0

作者：

Popova N.D. ^{[1
]}

Samoilenko Yu.S. ^{[1
]}

Strilets' O.V. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv

来源：

Ukrainian Mathematical Journal | 2007年 / 59卷 / 6期

关键词：

Permutation Group; Group Algebra; Braid Group; Coxeter Group; Free Algebra;

D O I：

10.1007/s11253-007-0058-4

中图分类号：

学科分类号：

摘要：

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. © 2007 Springer Science+Business Media, Inc.

引用

页码：907 / 918

页数：11

共 44 条

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