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

Andrew Reynolds; David Nash; Jonathan Brundan; Jonathan Comes

arxiv: 1404.6574 · v2 · pith:U34QXEM3new · submitted 2014-04-25 · 🧮 math.RT

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

Jonathan Brundan , Jonathan Comes , David Nash , Andrew Reynolds This is my paper

classification 🧮 math.RT

keywords categorybrauerorientedaffinebasiscyclotomicmonoidalquotients

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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.

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