Deformations of the metaplectic representations

We describe all possible “natural” deformations of the metaplectic representation of the Lie superalgebras osp (1,2n) and of its natural extension and show in particular that in most cases for the metaplectic representation itself, it is rigid.

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Veröffentlicht in:Journal of mathematical physics 2001-04, Vol.42 (4), p.1887-1899
Hauptverfasser: Lesimple, Marc, Pinczon, Georges
Format: Artikel
Sprache:eng
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Zusammenfassung:We describe all possible “natural” deformations of the metaplectic representation of the Lie superalgebras osp (1,2n) and of its natural extension and show in particular that in most cases for the metaplectic representation itself, it is rigid.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1350637