Title: | Symplectic induction and semisimple orbits |
Authors: | Chuah, MK 應用數學系 Department of Applied Mathematics |
Issue Date: | 1-Jun-2005 |
Abstract: | 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 |
Journal: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY |
Volume: | 37 |
Issue: | |
Begin Page: | 446 |
End Page: | 458 |
Appears in Collections: | Articles |
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