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arXiv · 2403.09103

Affine Frobenius Brauer Categories

Saima Samchuck-Schnarch
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Abstract

We define the affine Frobenius Brauer categories associated to each symmetric involutive Frobenius superalgebra $A$. We then define an action of these categories on the categories of finite-dimensional supermodules for orthosymplectic Lie superalgebras defined over $A$. When $A$ is the base field, we recover the previously-studied affine Brauer category; for other choices of $A$, the categories are novel. Finally, we state a conjecture for bases of homomorphism spaces in affine Frobenius Brauer categories, and outline a potential proof strategy.

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BibTeXRIS

Saima Samchuck-Schnarch. 2024-03-14. Affine Frobenius Brauer Categories. https://doi.org/10.1080/00927872.2025.2522901

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