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arXiv:math/9301214 [math.RT]AbstractReferencesReviewsResources

Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations

Roger E. Howe

Published 1993-01-01Version 1

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.

Comments: 74 pages
Journal: Bull. Amer. Math. Soc. (N.S.) 28 (1993) 1-74
Categories: math.RT
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