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.
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页码：907 / 918
页数：11
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