2026-09-23T15:28:14Zhttps://ruor.uottawa.ca/server/oai/request

oai:ruor.uottawa.ca:10393/439242024-02-23T08:59:12Zcom_10393_242col_10393_11105

Frobenius Brauer Categories Samchuck-Schnarch, Saima Savage, Alistair pure mathematics string diagrams category theory representation theory Given a symmetric Frobenius superalgebra A equipped with a compatible involution, we define the associated Frobenius Brauer category B(A) and affine Frobenius Brauer category AB(A), generalizing the plain Brauer category B and affine Brauer category AB. We define the orthosymplectic Lie superalgebra osp m|2n(A) and a functor from B(A) to osp m|2n(A)-mod, the category of supermodules over osp m|2n(A). We also define a functor from AB(A) to the endofunctor supercategory of osp m|2n(A)-mod.We prove that these two functors are well-defined and use the former functor to prove a basis result for B(A, δ), a specialized version of B(A). Prior to defining these categories and functors, we provide the background information on super-mathematics and Frobenius superalgebras needed to understand the new results. 2022-08-16T18:04:24Z 2022-08-16T18:04:24Z 2022-08-16 Thesis http://hdl.handle.net/10393/43924 http://dx.doi.org/10.20381/ruor-28137 en application/pdf Université d'Ottawa / University of Ottawa