4 papers
A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules
Alistair Savage
We develop a graphical calculus for induction and restriction along the Temperley-Lieb tower at a generic parameter. The main object, a diagrammatic 2-category , has…
The disoriented skein and iquantum Brauer categories
Hadi Salmasian, Alistair Savage, Yaolong Shen
We develop a diagrammatic approach to the representation theory of the quantum symmetric pairs corresponding to orthosymplectic Lie superalgebras inside general linear Lie superalg…
The spin Brauer category
Peter J. McNamara, Alistair Savage
We introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.…
The quantum spin Brauer category
Peter J. McNamara, Alistair Savage
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 $U_…