標題: Kahler structures and weighted actions on the complex torus
作者: Chuah, MK
應用數學系
Department of Applied Mathematics
公開日期: 1-六月-2000
摘要: 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'.
URI: http://dx.doi.org/10.1112/S0024610700008668
http://hdl.handle.net/11536/30500
ISSN: 0024-6107
DOI: 10.1112/S0024610700008668
期刊: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Volume: 61
Issue: 
起始頁: 937
結束頁: 949
顯示於類別:期刊論文


文件中的檔案:

  1. 000089262300023.pdf