Yang-Baxter systems and entwining structures

被引：23
|
作者：
Brezezinski, T
Nichita, FF
机构：
[1] Univ Coll Swansea, Dept Math, Swansea SA2 8PP, W Glam, Wales
[2] Romanian Acad, Inst Math, Bucharest, Romania
来源：
COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 04期
关键词：
entwining structure; Yang-Baxter equation; Yang-Baxter operator; Yang-Baxter system;
D O I：
10.1081/AGB-200053815
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a Yang-Baxter system call be constructed from ally entwining structure. It is also shown that, conversely, Yang-Baxter systems of certain types lead to entwining structures. Examples of Yang-Baxter systems associated to entwining structures are given, and a Yang-Baxter operator of Hecke type is defined for any bijective entwining map.
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页码：1083 / 1093
页数：11
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