从量子群到酉模张量范畴
量子代数
2007-05-23 v3 范畴论
摘要
模张量范畴是根处的量子群表示范畴的推广，公理化了产生三维 TQFT 所需的诸性质。尽管后来发现了其他构造，量子群仍是最丰富的来源。最近提出的量子计算应用提供了一种动力，以尽可能显式地理解和描述这些例子，尤其是那些“物理上可行的”。我们综述由量子群产生酉模张量范畴这一问题的现状，强调显式计算。
引用
@article{arxiv.math/0503226,
title = {From Quantum Groups to Unitary Modular Tensor Categories},
author = {Eric C. Rowell},
journal= {arXiv preprint arXiv:math/0503226},
year = {2007}
}
备注
16 pages, final version to appear in Contemporary Mathematics. Version 2: minor typos fixed, references updated, Theorem 4.5 clarified. Version 3: major addition deriving generating functions for ranks, paper reorganized