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.

引用

页码：1385 / 1395

页数：11

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