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The quantum spin Brauer category

The quantum spin Brauer category

来源:Arxiv_logoArxiv
英文摘要

We introduce a diagrammatic braided monoidal category, the quantum spin Brauer category, together with a full functor to the category of finite-dimensional, type $1$ modules for $U_q(\mathfrak{so}(N))$ or $U_q(\mathfrak{o}(N))$. 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.

Peter J. McNamara、Alistair Savage

物理学数学

Peter J. McNamara,Alistair Savage.The quantum spin Brauer category[EB/OL].(2025-04-23)[2025-05-25].https://arxiv.org/abs/2504.16618.点此复制

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