The Generic Representation Theory of the Juyumaya Algebra of Braids and Ties

被引：10
|
作者：
Banjo, Elizabeth O. [1 ]
机构：
[1] City Univ London, Dept Math, London EC1V 0HB, England
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 05期
关键词：
Representation theory; Partition algebra; Ramified partition algebra; Small ramified partition algebra;
D O I：
10.1007/s10468-012-9361-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we determine the complex generic representation theory of the Juyumaya algebra. We do this by showing that a certain specialization of this algebra is isomorphic to the small ramified partition algebra, introduced by P. Martin.
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页码：1385 / 1395
页数：11
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