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 $U_q(\mathfrak{so}(N))$ O
$U_q(\mathfrak{o}(N))$. 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.

Questo articolo esplora i giri e le loro implicazioni.

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