The quantum spin Brauer category
Quantum Algebra
2025-04-24 v1 Representation Theory
Abstract
We introduce a diagrammatic braided monoidal category, the quantum spin Brauer category, together with a full functor to the category of finite-dimensional, type modules for or . This functor becomes essentially surjective after passing to the idempotent completion. The quantum spin Brauer category can be thought of as a quantum version of the spin Brauer category introduced previously by the authors. Alternatively, it is an enlargement of the Kauffman category, obtained by adding a generating object corresponding to the quantum spin module.
Cite
@article{arxiv.2504.16618,
title = {The quantum spin Brauer category},
author = {Peter J. McNamara and Alistair Savage},
journal= {arXiv preprint arXiv:2504.16618},
year = {2025}
}
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44 pages