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Webs for the Quantum Orthogonal Group

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arxiv 2309.03623 v2 pith:E4JITMY5 submitted 2023-09-07 math.RT math.QA

Elijah Bodish , Haihan Wu This is my paper · ORCID
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keywords quantumgrouporthogonaldefiningexteriorfullgeneratedgenerators
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We give a generators and relations presentation for the full monoidal subcategory of representations of the quantum orthogonal group generated by the quantum exterior powers of the defining representation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Affine web of type Q

    math.RT 2025-06 conditional novelty 6.0 of 10

    The affine web category of type Q is defined, given a simplified presentation over C, and shown to have an integral diagrammatic basis indexed by elementary chicken foot diagrams.

  2. A Coboundary Temperely-Lieb Category for $\mathfrak{sl}_2$-Crystals

    math.RT 2025-02 conditional novelty 6.0 of 10

    A q=0 Temperley-Lieb category with explicit Jones-Wenzl projectors is shown to be equivalent as a coboundary category to sl2-crystals, yielding diagrammatic formulas for the crystal commutor.

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