Fusion Procedure for Cyclotomic Hecke Algebras

被引：4
|
作者：
Ogievetsky, Oleg V. [1 ,2 ]
D'Andecy, Loic Poulain [3 ]
机构：
[1] Aix Marseille Univ, CNRS, Ctr Theoret Phys, UMR 7332, F-13288 Marseille, France
[2] Univ Toulon & Var, CNRS, UMR 7332, F-83957 La Garde, France
[3] Versailles St Quentin Univ, CNRS UMR 8100, LMV, Math Lab Versailles, F-78035 Versailles, France
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2014年 / 10卷
关键词：
cyclotomic Hecke algebras; fusion formula; idempotents; Young tableaux; Jucys-Murphy elements; Schur element; GENERIC DEGREES; REPRESENTATIONS;
D O I：
10.3842/SIGMA.2014.039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A complete system of primitive pairwise orthogonal idempotents for cyclotomic Hecke algebras is constructed by consecutive evaluations of a rational function in several variables on quantum contents of multi-tableaux. This function is a product of two terms, one of which depends only on the shape of the multi-tableau and is proportional to the inverse of the corresponding Schur element.
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页数：13
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