Fusion procedure for the walled Brauer algebra

JOURNAL OF GEOMETRY AND PHYSICS

卷:149

Article

Bulgakova, D., V^1,2  Ogievetsky, O.^1,2,3 

[1] Aix Marseille Univ, Univ Toulon, CNRS, CPT,UMR 7332, F-13288 Marseille, France

[2] Lebedev Phys Inst, IE Tamm Dept Theoret Phys, Leninsky Prospect 53, Moscow 119991, Russia

[3] Skolkovo Inst Sci & Technol, Moscow, Russia

关键词: Walled Brauer algebra;    Fusion procedure;    Mixed tensor space;   

DOI  :  10.1016/j.geomphys.2019.103580

来源: Elsevier

【 摘 要 】

We establish two versions of the fusion procedure for the walled Brauer algebras. In each of them, a complete system of primitive pairwise orthogonal idempotents for the walled Brauer algebra is constructed by consecutive evaluations of a rational function in several variables on contents of standard walled tableaux. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free