GARSIDE GROUPS AND YANG-BAXTER EQUATION

被引：50

作者：

Chouraqui, Fabienne ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 12期

关键词：

Garside groups; Monoid presentation; Quantum Yang-Baxter equations; GAUSSIAN GROUPS;

D O I：

10.1080/00927870903386502

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive, and braided set-theoretical solutions of the quantum Yang-Baxter equation. We also characterize indecomposable solutions in terms of Delta-pure Garside groups.

引用

页码：4441 / 4460

页数：20

共 50 条

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[J]. LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (04) : 295 - 298
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[6] INTRODUCTION TO THE YANG-BAXTER EQUATION
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