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A basis theorem for the affine oriented Brauer category and its cyclotomic quotients (1404.6574v2)
Published 25 Apr 2014 in math.RT
Abstract: 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.