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Conference Paper: Miniscule representations, Gauss sum, and modular invariance
| Title | Miniscule representations, Gauss sum, and modular invariance |
|---|---|
| Authors | |
| Keywords | Miniscule representations Gauss sum Modular and Hecke groups |
| Issue Date | 2007 |
| Publisher | Higher 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? |
| Abstract | After 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 Identifier | http://hdl.handle.net/10722/100340 |
| ISBN |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wu, S | en_HK |
| dc.date.accessioned | 2010-09-25T19:06:08Z | - |
| dc.date.available | 2010-09-25T19:06:08Z | - |
| dc.date.issued | 2007 | en_HK |
| dc.identifier.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 | en_HK |
| dc.identifier.isbn | 978-7-0402-3267-7 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/100340 | - |
| dc.description.abstract | After 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.language | eng | en_HK |
| dc.publisher | Higher Education Press. | en_HK |
| dc.relation.ispartof | Proceedings of the 4th International Congress of Chinese Mathematicians | en_HK |
| dc.subject | Miniscule representations | - |
| dc.subject | Gauss sum | - |
| dc.subject | Modular and Hecke groups | - |
| dc.title | Miniscule representations, Gauss sum, and modular invariance | en_HK |
| dc.type | Conference_Paper | en_HK |
| dc.identifier.email | Wu, S: siyewu@hkucc.hku.hk | en_HK |
| dc.identifier.authority | Wu, S=rp00814 | en_HK |
| dc.description.nature | postprint | - |
| dc.identifier.hkuros | 138303 | en_HK |
| dc.identifier.volume | 1 | en_HK |
| dc.identifier.spage | 442 | en_HK |
| dc.identifier.epage | 455 | - |
| dc.publisher.place | China | - |
| dc.description.other | 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 | - |