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Invariant tensors for the spin representation of so(7)

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arxiv math/0601209 v1 pith:7SHQVFD6 submitted 2006-01-10 math.QA math.RT

Bruce W. Westbury This is my paper · ORCID
classification math.QAmath.RT
keywords categoryinvariantrepresentationspintensorsconstructfieldfinite
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We construct a pivotal category by a finite presentation and show that it is an integral form of the category of invariant tensors of the spin representation of the quantum group U_q(B_3) over the field of rational functions in q.

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  1. 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.

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