A basis theorem for the affine oriented Brauer category and its cyclotomic quotients

By Jonathan Brundan, J. Comes, David Nash, Andrew Reynolds. 2014

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The affine oriented Brauer category is a monoidal category obtained from the oriented Brauer category (= the free symmetric monoidal category generated by a single object and its dual) by adjoining a polynomial generator subject to appropriate relations. In this article, we prove a basis theorem for the morphism spaces in this category, as well as for all of its cyclotomic quotients.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/36aaa53af300d87886c1d2918a42288d6e4a4c40