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.
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页码：795 / 803
页数：9
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