Deformations of the Metaplectic Representations

Marc Lesimple (1) , Georges Pinczon (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We describe all possible deformations of the Metaplectic Representation of the Lie Superalgebra osp(1,2n),and of its natural extension,and show that in most cases the metaplectic representation is rigid.

Domaines: Théorie des représentations [math.RT]

Marc Lesimple, Georges Pinczon. Deformations of the Metaplectic Representations. Journal of Mathematical Physics, 2001, 42 (4), pp.1887. ⟨10.1063/1.1350637⟩. ⟨hal-00439800⟩