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arXiv 0710.0705math.RAhep-thmath-phmath.MPmath.QAmath.RT
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霍普夫代数与同余子群

Hopf Algebras and Congruence Subgroups

Yorck Sommerhaeuser, Yongchang Zhu

备注：
130 pages. Many new results added, remark by D. Nikshych included. See also http://www.southalabama.edu/mathstat/personal_pages/sommerh/
发表信息：
Mem. Am. Math. Soc., Vol. 219, No. 1028, Am. Math. Soc., Providence, 2012
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摘要：

证明了半单霍普夫代数的Drinfel'd二重化中心上的模群的自然作用的核是同余子群.为此，我们引入了一类广义Frobenius-Schur指标，并赋予它与原来的兼容的模群的作用。

英文摘要：

We prove that the kernel of the natural action of the modular group on the center of the Drinfel'd double of a semisimple Hopf algebra is a congruence subgroup. To do this, we introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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