Representations of the modular group arising from Drinfeld doubles of finite abelian groups
| Autor: | Deepak Naidu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Computer Science::Information Retrieval Applied Mathematics Image (category theory) Astrophysics::Instrumentation and Methods for Astrophysics Representation (systemics) Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Modular group Exponent Computer Science::General Literature Abelian group Congruence subgroup Mathematics |
| Zdroj: | Journal of Algebra and Its Applications. 20:2150011 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498821500110 |
| Popis: | We show that the image of the representation of the modular group [Formula: see text] arising from the representation category [Formula: see text] of the Drinfeld double [Formula: see text] of a finite abelian group [Formula: see text] of exponent [Formula: see text] is isomorphic to the special linear group [Formula: see text], where [Formula: see text] denotes the ring of integers modulo [Formula: see text]. As a consequence, we establish that the kernel of the representation in question is the principal congruence subgroup of level [Formula: see text]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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