The quantum spin Brauer category

Annals of representation theory 2026 Open access

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Authors: Peter J. McNamara, Alistair Savage
DOI: 10.5802/art.41
Cited by: 0

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- 1 modules for U q ( 𝔰𝔬 ( N ) ) or U q ( 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 in [18]. Alternatively, it is an enlargement of the Kauffman category, obtained by adding a generating object corresponding to the quantum spin module.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Topics in Algebra Magnetism in coordination complexes

Publication details

Journal / source
Annals of representation theory
Volume
3
Issue
2
Pages
247–298
Publication date
23 September 2026
Language
EN