paper

Fusion procedure for the walled Brauer algebra

arXiv:1911.10537 · doi:10.1016/j.geomphys.2019.103580

Abstract

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 Hecke algebra is constructed by consecutive evaluations of a rational function in several variables on contents of standard walled tableaux.