%0 Journal Article
%T Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
%A Roger E. Howe
%J Mathematics
%D 1993
%I arXiv
%X In this paper we study the reducibility, composition series and unitarity of the components of some degenerate principal series representations of $\RMO(p,q)$, $\RMU(p,q)$ and $\SP(p,q)$. This is done by realizing these representations in paces of homogeneous functions on light cones and writing down the explicit actions of the universal enveloping algebra of the group concerned.
%U http://arxiv.org/abs/math/9301214v1