McSween, Alexandra2021-06-292021-06-292021-06-29http://hdl.handle.net/10393/42342http://dx.doi.org/10.20381/ruor-26564To 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.enpure mathematicsrepresentation theorycategory theorystring diagramsThesis