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SYMPLECTIC INDUCTION AND SEMISIMPLE ORBITS

Published online by Cambridge University Press:  01 June 2005

MENG-KIAT CHUAH
MENG-KIAT CHUAH
Affiliation:
Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, [email protected]
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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.

Keywords

22F3053C5553D05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 446 - 458
Copyright
© The London Mathematical Society 2005

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Footnotes

This work is supported in part by the National Science Council of Taiwan.