Braid group representations from twisted quantum doubles of finite groups
Braid group representations from twisted quantum doubles of finite groups
复制标题
有限群扭曲量子双体的辫子群表示
DOI：
10.2140/pjm.2008.234.33
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发表时间：
2007
影响因子：
0.6
通讯作者：
S. Witherspoon
中科院分区：
文献类型：
--
作者：
P. Etingof;E. Rowell;S. Witherspoon
研究了由有限群的扭曲量子双重的表示范畴引起的编织群表示。对于这些范畴，我们证明了所得到的编织群表示总是通过有限群因子，而不是在统一根处与量子群相关的范畴。我们还证明了在p群的情况下，相应的纯辫群表示通过一个有限的p群来分解，这回答了第一作者V. Drinfeld提出的一个问题。
We investigate the braid group representations arising from categories of representations of twisted quantum doubles of finite groups. For these categories, we show that the resulting braid group representations always factor through finite groups, in contrast to the categories associated with quantum groups at roots of unity. We also show that in the case of p-groups, the corresponding pure braid group representations factor through a finite p-group, which answers a question asked of the first author by V. Drinfeld.