uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Mapping class group representations from Drinfeld doubles of finite groups
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.ORCID iD: 0000-0003-0372-5093
(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
URN: urn:nbn:se:uu:diva-254887OAI: oai:DiVA.org:uu-254887DiVA: diva2:820042
Available from: 2015-06-11 Created: 2015-06-11 Last updated: 2015-06-11

Open Access in DiVA

No full text

Other links


Search in DiVA

By author/editor
Fjelstad, Jens
By organisation
Department of Mathematics
Other Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 188 hits
ReferencesLink to record
Permanent link

Direct link