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

Cet article explore les excursions dans le temps et leurs implications.

Télécharger PDF: