Mickelsson algebras and Zhelobenko operators

JOURNAL OF ALGEBRA

卷:319

Article

Khoroshkin, S.²  Ogievetsky, O.¹ 

[1] CNRS, Ctr Phys Theor, F-13288 Marseille, France

[2] Inst Theoret & Expt Phys, Moscow 117259, Russia

关键词: contragredient lie algebras of finite growth;    quantized universal enveloping algebras;    extremal projector;    Mickelsson algebras;    Zhelobenko cocycles;    braid group actions;    dynamical Weyl group;   

DOI  :  10.1016/j.jalgebra.2007.04.020

来源: Elsevier

【 摘 要 】

We construct a family of automorphisms of Mickelsson algebra, satisfying braid group relations. The construction uses 'Zhelobenko cocycle' and includes the dynamical Weyl group action as a particular case. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free