English

Fusion procedure for the walled Brauer algebra

Representation Theory 2020-03-18 v1 Mathematical Physics math.MP

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.

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Cite

@article{arxiv.1911.10537,
  title  = {Fusion procedure for the walled Brauer algebra},
  author = {D. V. Bulgakova and O. Ogievetsky},
  journal= {arXiv preprint arXiv:1911.10537},
  year   = {2020}
}
R2 v1 2026-06-23T12:25:33.352Z