Miniscule representations, Gauss sum and modular invariance

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dc.creatorWu, Siye
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:20:47Z
dc.date.available2026-07-07T09:20:47Z
dc.descriptionAfter 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.description12 pages, corrected version
dc.identifierhttps://arxiv.org/abs/0802.2038
dc.identifierhttp://arxiv.org/abs/0802.2038
dc.identifierProc. of the 4th Intern. Congr. of Chinese Mathematicians, Vol.I, pp. 442-455 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154833
dc.subjectRepresentation Theory
dc.subject22E46; 11F03; 11L03
dc.titleMiniscule representations, Gauss sum and modular invariance
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