Webs for the Quantum Orthogonal Group

Elijah Bodish; Haihan Wu

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

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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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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.

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