Group Extensions, Gerbes and Twisted K-theory
2008 (English)Licentiate thesis, comprehensive summary (Other scientific)
This thesis reviews the theory of group extensions, gerbes and twisted K-theory. Application to anomalies in gauge theory is briefly discussed. The main results are presented in two appended scientific papers. In the first paper we establish, by construction, a criterion for when an infinite dimensional abelian Lie algebra extension corresponds to a Lie group extension. In the second paper we introduce the fractional loop group L_qG, construct highest weight modules for the Lie algebra and discuss an application to twisted K-theory on G.
Place, publisher, year, edition, pages
Stockholm: KTH , 2008. , x, 48 p.
Trita-FYS, ISSN 0280-316X ; 2008:7
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-4654ISBN: 978-91-7178-893-1OAI: oai:DiVA.org:kth-4654DiVA: diva2:13261
2008-03-13, FA32, AlbaNova universitetscentrum, Roslagstullsbacken 21, Stockholm, 10:00
Fuchs, Jürgen, Professor
QC 201011112008-02-272008-02-272010-11-11Bibliographically approved
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