On the idempotents of Hecke algebras

被引：16
|
作者：
Isaev, A. P. [1 ]
Molev, A. I. [2 ]
Os'kin, A. F. [1 ]
机构：
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 85卷 / 01期
基金：
俄罗斯基础研究基金会; 澳大利亚研究理事会;
关键词：
Hecke algebra; fusion procedure; Yang-Baxter equation;
D O I：
10.1007/s11005-008-0254-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a new construction of primitive idempotents of the Hecke algebras associated with the symmetric groups. The idempotents are found as evaluated products of certain rational functions thus providing a new version of the fusion procedure for the Hecke algebras. We show that the normalization factors which occur in the procedure are related to the Ocneanu-Markov trace of the idempotents.
引用
收藏
页码：79 / 90
页数：12
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