Fusion procedure for the walled Brauer algebra

Authors :: D.V. Bulgakova
Oleg Ogievetsky
Centre de Physique Théorique - UMR 7332 (CPT)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
CPT - E2 Géométrie, Physique et Symétries
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Source :: Journal of Geometry and Physics, Journal of Geometry and Physics, 2020, 149, pp.103580. ⟨10.1016/j.geomphys.2019.103580⟩, Journal of Geometry and Physics, Elsevier, 2020, 149, pp.103580. ⟨10.1016/j.geomphys.2019.103580⟩
Publication Year :: 2020
Publisher :: Elsevier BV, 2020.
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 Brauer algebra is constructed by consecutive evaluations of a rational function in several variables on contents of standard walled tableaux.

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