完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Chuah, MK | en_US |
dc.date.accessioned | 2014-12-08T15:45:15Z | - |
dc.date.available | 2014-12-08T15:45:15Z | - |
dc.date.issued | 2000-06-01 | en_US |
dc.identifier.issn | 0024-6107 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1112/S0024610700008668 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/30500 | - |
dc.description.abstract | Let T be the compact real torus, and T-C its complexification. Fix an integral weight alpha, and consider the alpha-weighted T-action on T-C. If omega is a T-invariant Kahler form on T-C, it corresponds to a pre-quantum line bundle L over T-C. Let H-omega be the square-integrable holomorphic sections of L. The weighted T-action lifts to a unitary T-representation on the Hilbert space H-omega, and the multiplicity of its irreducible sub-representations is considered. It is shown that this is controlled by the image of the moment map, as well as the principle that 'quantization commutes with reduction'. | en_US |
dc.language.iso | en_US | en_US |
dc.title | Kahler structures and weighted actions on the complex torus | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1112/S0024610700008668 | en_US |
dc.identifier.journal | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | en_US |
dc.citation.volume | 61 | en_US |
dc.citation.issue | en_US | |
dc.citation.spage | 937 | en_US |
dc.citation.epage | 949 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000089262300023 | - |
dc.citation.woscount | 0 | - |
顯示於類別: | 期刊論文 |