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Restricting Representations of Completely Solvable Lie Groups

Published online by Cambridge University Press:  20 November 2018

R. L. Lipsman
R. L. Lipsman*
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742
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We are concerned here with the problem of describing the direct integral decomposition of a unitary representation obtained by restriction from a larger group. This is the dual problem to the more commonly investigated problem of decomposing induced representations. In this paper we work in the context of completely solvable Lie groups—more general than nilpotent, but less general than exponential solvable. Moreover, the groups involved are simply connected. The restriction problem was considered originally in [2] and in [6] for nilpotent groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 5 , 01 October 1990 , pp. 790 - 824
Copyright
Copyright © Canadian Mathematical Society 1990

References

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