Affine Oriented Frobenius Brauer Categories and General Linear Lie Superalgebras

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Title: Affine Oriented Frobenius Brauer Categories and General Linear Lie Superalgebras
Authors: McSween, Alexandra
Date: 2021-06-29
Abstract: To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer categeory. We define natural actions of these categories on categories of supermodules for general linear Lie superalgebras 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. We include background on monoidal supercategories and Frobenius superalgebras and discuss some possible further directions.
URL: http://hdl.handle.net/10393/42342
http://dx.doi.org/10.20381/ruor-26564
CollectionThèses, 2011 - // Theses, 2011 -
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