A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.6574
- arXiv:
- arXiv:1404.6574
- Bibcode:
- 2014arXiv1404.6574B
- Keywords:
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- Mathematics - Representation Theory;
- 17B10;
- 18D10
- E-Print:
- v2: Minor corrections