顶点张量范畴的直极限完备
量子代数
2022-02-17 v2 数学物理
范畴论
math.MP
表示论
摘要
我们证明顶点张量范畴的直极限完备继承顶点与辫子张量范畴结构，其所处条件例如对所有已知的Virasoro与仿射李代数张量范畴均成立。一个推论是顶点算子（超）代数扩张理论也适用于无限阶扩张。作为一个应用，我们通过某些陪集将的仿射顶点超代数与超Virasoro代数的某些模的刚性与非退化顶点张量范畴关联到Virasoro代数模的范畴。
引用
@article{arxiv.2006.09711,
title = {Direct limit completions of vertex tensor categories},
author = {Thomas Creutzig and Robert McRae and Jinwei Yang},
journal= {arXiv preprint arXiv:2006.09711},
year = {2022}
}
备注
51 pages; in this version, Theorem 7.1 is improved by removing one of the conditions needed to apply it; corresponding improvements are made to the subsequent examples; final version to appear in Communications in Contemporary Mathematics