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

页码：79 / 90

页数：12

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