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. (C) 2001 American Institute of Physics.
机构:
Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel