Deformations of the metaplectic representations

Citation
M. Lesimple et G. Pinczon, Deformations of the metaplectic representations, J MATH PHYS, 42(4), 2001, pp. 1887-1899
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
4
Year of publication
2001
Pages
1887 - 1899
Database
ISI
SICI code
0022-2488(200104)42:4<1887:DOTMR>2.0.ZU;2-4
Abstract
We describe all possible "natural" deformations of the metaplectic represen tation of the Lie superalgebras osp(1,2n) and of its natural extension and show in particular that in most cases for the metaplectic representation it self, it is rigid. (C) 2001 American Institute of Physics.