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arXiv · 2101.04582

Affine oriented Frobenius Brauer categories

Alexandra McSween·Alistair Savage
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Abstract

To any Frobenius superalgebra $A$ we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer category. We define natural actions of these categories on categories of supermodules for general linear Lie superalgebras $\mathfrak{gl}_{m|n}(A)$ with entries in $A$. These actions generalize those on module categories for general linear Lie superalgebras and queer Lie superalgebras, which correspond to the cases where $A$ is the ground field and the two-dimensional Clifford superalgebra, respectively.

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BibTeXRIS

Alexandra McSween, Alistair Savage. 2021-01-12. Affine oriented Frobenius Brauer categories. https://doi.org/10.1080/00927872.2022.2113401

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