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

[41] Necessary and sufficient conditions for a variety of Leibniz algebras to have polynomial growth
Mishchenko S.P.
Cherevatenko O.I.
Journal of Mathematical Sciences, 2008, 152 (2) : 282 - 287
[42] ON A CLASS OF BANACH ALGEBRAS ASSOCIATED TO HARMONIC ANALYSIS ON LOCALLY COMPACT GROUPS AND SEMIGROUPS
Lau, Anthony To-Ming
Le Pham, Hung
ADVANCES IN OPERATOR THEORY, 2018, 3 (01): : 231 - 246
[43] Variety of Jordan algebras var(UT2 (F)(+)) has almost polynomial growth
A. V. Popov
Moscow University Mathematics Bulletin, 2012, 67 (5-6) : 224 - 227
[44] The growth function of Coxeter garlands in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{H}^{4}}$$\end{document}
Thomas Zehrt
Christine Zehrt-Liebendörfer
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2012, 53 (2): : 451 - 460

← 1 2 3 4 5 →