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math.RT2025
Affine Frobenius Brauer Categories
Saima Samchuck-Schnarch
We define the affine Frobenius Brauer categories associated to each symmetric involutive Frobenius superalgebra . We then define an action of these categories on the categories…
math.RT2025
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…
math.RT2025
Towards interpolating categories for equivariant map algebras
Saima Samchuck-Schnarch
Using the language of string diagrams, we define categorical generalizations of modules for map algebras and equivariant map algebras $(\mathfrak{g} \otime…