Webs for the Quantum Orthogonal Group
Elijah Bodish, Haihan Wu
TL;DR
This paper provides a generators and relations presentation for a specific subcategory of representations of the quantum orthogonal group, focusing on those generated by quantum exterior powers of the fundamental representation.
Contribution
It introduces a new algebraic presentation for the subcategory of quantum orthogonal group representations generated by quantum exterior powers.
Findings
Provides explicit generators and relations for the subcategory.
Clarifies the structure of representations generated by quantum exterior powers.
Facilitates further algebraic and categorical analysis of quantum orthogonal groups.
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry