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Mapping class group representations from Drinfeld doubles of finite groups
Department of Mathematics, Uppsala University, Uppsala.ORCID iD: 0000-0003-0372-5093
Teoretisk fysik, Karlstads Universitet, Karlstad.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We investigate representations of mapping class groups of surfaces that arise from the untwisted Drinfeld double of a finite group G, focusing on surfaces without marked points or with one marked point. We obtain concrete descriptions of such representations in terms of finite group data. This allows us to establish various properties of these representations. In particular we show that they have finite images, and that for surfaces of genus at least 3 their restriction to the Torelli group is non-trivial iff G is non-abelian.

Keyword [en]
Mapping class groups, TQFT, CFT
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-57720OAI: oai:DiVA.org:oru-57720DiVA: diva2:1096448
Available from: 2015-06-11 Created: 2017-05-17 Last updated: 2017-10-18Bibliographically approved

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