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Symmetrizer and Antisymmetrizer of the Birman-Wenzl-Murakami Algebras

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abstract

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

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math.QA 1

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2025 1

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The quantum spin Brauer category

math.QA · 2025-04-23 · accept · novelty 7.0

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.

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  • The quantum spin Brauer category math.QA · 2025-04-23 · accept · none · ref 12 · internal anchor

    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.