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arXiv · 1404.6574

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

Jonathan Brundan·Jonathan Comes·David Nash·Andrew Reynolds
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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.

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Jonathan Brundan, Jonathan Comes, David Nash, Andrew Reynolds. 2014-07-20. A basis theorem for the affine oriented Brauer category and its cyclotomic quotients. https://doi.org/10.4171/qt%2F87

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