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

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2014-04-25 DOI:10.4171/QT/87

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

引用次数: 43

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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仿射取向Brauer范畴及其分环商的一个基定理

仿射取向Brauer范畴是由取向Brauer范畴(=由单个对象及其对偶生成的自由对称单面范畴)通过相邻多项式生成器根据适当的关系得到的单面范畴。在这篇文章中，我们证明了这个范畴中的态射空间的一个基定理，以及它的所有环商的一个基定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.