標題: Symplectic induction and semisimple orbits
作者: Chuah, MK
應用數學系
Department of Applied Mathematics
公開日期: 1-六月-2005
摘要: Symplectic induction was first introduced by Weinstein as the symplectic analogue of induced representations, and was further developed by Guillemin and Sternberg. This paper deals with the case where the symplectic manifold in question is a semisimple coadjoint orbit of a Lie group. In this case, the construction is generalized by adding a smooth mapping, in order to obtain various symplectic forms. In particular, when the orbit is elliptic, a study of the complex geometry shows that quantization commutes with induction.
URI: http://dx.doi.org/10.1112/S0024609305004364
http://hdl.handle.net/11536/13681
ISSN: 0024-6093
DOI: 10.1112/S0024609305004364
期刊: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Volume: 37
Issue: 
起始頁: 446
結束頁: 458
顯示於類別:期刊論文


文件中的檔案:

  1. 000230071800015.pdf