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Conference Paper: Miniscule representations, Gauss sum, and modular invariance

TitleMiniscule representations, Gauss sum, and modular invariance
Authors
KeywordsMiniscule representations
Gauss sum
Modular and Hecke groups
Issue Date2007
PublisherHigher Education Press.
Citation
The 4th International Congress of Chinese Mathematicians (ICCM2007), Hangzhou, China, 17-22 December 2007. In Proceedings of the 4th ICCM, 2007, v. 1, p. 442-455 How to Cite?
AbstractAfter explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra. We then show a reciprocity property when a Lie group is exchanged with its Langlands dual. We also explore the relation with theta functions and modular transformations. In the non-simply laced case, we construct a unitary representation of the Hecke group which involves interesting new phase factors.
Persistent Identifierhttp://hdl.handle.net/10722/100340
ISBN

 

DC FieldValueLanguage
dc.contributor.authorWu, Sen_HK
dc.date.accessioned2010-09-25T19:06:08Z-
dc.date.available2010-09-25T19:06:08Z-
dc.date.issued2007en_HK
dc.identifier.citationThe 4th International Congress of Chinese Mathematicians (ICCM2007), Hangzhou, China, 17-22 December 2007. In Proceedings of the 4th ICCM, 2007, v. 1, p. 442-455en_HK
dc.identifier.isbn978-7-0402-3267-7-
dc.identifier.urihttp://hdl.handle.net/10722/100340-
dc.description.abstractAfter explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra. We then show a reciprocity property when a Lie group is exchanged with its Langlands dual. We also explore the relation with theta functions and modular transformations. In the non-simply laced case, we construct a unitary representation of the Hecke group which involves interesting new phase factors.-
dc.languageengen_HK
dc.publisherHigher Education Press.en_HK
dc.relation.ispartofProceedings of the 4th International Congress of Chinese Mathematiciansen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectMiniscule representations-
dc.subjectGauss sum-
dc.subjectModular and Hecke groups-
dc.titleMiniscule representations, Gauss sum, and modular invarianceen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailWu, S: siyewu@hkucc.hku.hken_HK
dc.identifier.authorityWu, S=rp00814en_HK
dc.description.naturepostprint-
dc.identifier.hkuros138303en_HK
dc.identifier.volume1en_HK
dc.identifier.spage442en_HK
dc.identifier.epage455-
dc.publisher.placeChina-
dc.description.otherThe 4th International Congress of Chinese Mathematicians (ICCM2007), Hangzhou, China, 17-22 December 2007. In Proceedings of the 4th ICCM, 2007, v. 1, p. 442-455-

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