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

Roger E. Howe
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Abstract

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.

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BibTeXRIS

Roger E. Howe. 1993-01-01. Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations. https://arxiv.org/abs/math/9301214

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