ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS

被引：11

作者：

Ogievetsky, O. V. ^{[1
,2
,3
,4
,5
]}

D'Andecy, L. Poulain ^{[1
,2
,3
,4
,5
]}

机构：

[1] CNRS, Ctr Theoret Phys, UMR 6207, F-13288 Marseille, France

[2] Univ Aix Marseille 1, F-13288 Marseille, France

[3] Univ Aix Marseille 2, F-13288 Marseille, France

[4] Lab Off FRUMAM FR 2291, F-13288 Marseille, France

[5] Independent Univ Moscow, JV Poncelet French Russian Lab, CNRS, UMI 2615, Moscow 119002, Russia

来源：

MODERN PHYSICS LETTERS A | 2011年 / 26卷 / 11期

关键词：

Hecke algebras; Jucys-Murphy elements; complex reflection groups; flat deformations; Young diagrams; Young tableaux;

D O I：

10.1142/S0217732311035377

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An approach, based on Jucys-Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys-Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without using the representation theory.

引用

页码：795 / 803

页数：9

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