Affine oriented Frobenius Brauer categories

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.

15 pages. v2: Minor corrections, published version

References in corpus (2)

• Foundations of Frobenius Heisenberg categories
• Quantum Frobenius Heisenberg categorification

Cited by in corpus (2)

• Diagrammatics for real supergroups
• Affine Frobenius Brauer Categories