Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras

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István Heckenberger , Axel Schüler This is my paper · ORCID

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keywords algebrasantisymmetrizerbirman-wenzl-murakamisymmetrizerexplicitformulasgiven

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Explicit formulas for the symmetrizer and the antisymmetrizer of the Birman-Wenzl-Murakami algebras BWM(r,q)_n are given.

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The quantum spin Brauer category
math.QA 2025-04 accept novelty 7.0 of 10

The quantum spin Brauer category is a braided diagrammatic category whose Karoubi completion covers all finite-dimensional U_q(so(N)) and U_q(o(N)) modules, including spin modules.