49 citations · 658 across the 61 of their papers we have counts for
61 papers
Diagrammatics for real supergroups
Saima Samchuck-Schnarch, Alistair Savage
We introduce two families of diagrammatic monoidal supercategories. The first family, depending on an associative superalgebra, generalizes the oriented Brauer category. The second…
The quantum isomeric supercategory
Alistair Savage
We introduce the quantum isomeric supercategory and the quantum affine isomeric supercategory. These diagrammatically defined supercategories, which can be viewed as isomeric analo…
Quantum diagrammatics for
Alistair Savage, Bruce W. Westbury
We introduce a graphical calculus for the representation theory of the quantized enveloping algebra of type . We do this by giving a diagrammatic description of the category o…
Diagrammatics for
Raj Gandhi, Alistair Savage, Kirill Zainoulline
We define a diagrammatic monoidal category, together with a full and essentially surjective monoidal functor from this category to the category of modules over the exceptional Lie…
Categorification of the elliptic Hall algebra
Youssef Mousaaid, Alistair Savage
We show that the central charge reduction of the universal central extension of the elliptic Hall algebra is isomorphic to the trace, or zeroth Hochschild homology, of the quan…
Affine oriented Frobenius Brauer categories
Alexandra McSween, Alistair Savage
To any Frobenius superalgebra we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer category. We define natural actions of these categories…