Representations of the modular group arising from Drinfeld doubles of finite abelian groups

被引：1

作者：

Naidu, Deepak ^{[1
]}

机构：

[1] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 02期

关键词：

Drinfeld double; modular tensor category; modular group; congruence subgroup;

D O I：

10.1142/S0219498821500110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the image of the representation of the modular group SL(2,Z) arising from the representation category Rep(D(G)) of the Drinfeld double D(G) of a finite abelian group G of exponent n is isomorphic to the special linear group SL(2,Z/nZ), where Z/nZ denotes the ring of integers modulo n. As a consequence, we establish that the kernel of the representation in question is the principal congruence subgroup of level n.

引用

页数：16

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