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Characters of lie groups: Traceability and certain semidirect products

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Abstract

Two main results are obtained. First, for any unimodular type I almost connected group, it is proven that almost all of its irreducible unitary representations have global distribution characters. Second, for a certain class of semidirect products, these characters are computed and shown to be given by a function on an open dense subset, the function however not being locally integrable on the whole group.

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Authors and Affiliations

  1. University of Maryland, Maryland, USA

    Ronald L. Lipsman

  2. The Hebrew University of Jerusalem, Jerusalem, Israel

    Ronald L. Lipsman

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  1. Ronald L. Lipsman
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Additional information

This research was supported by NSF grant GP-33039.

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Lipsman, R.L. Characters of lie groups: Traceability and certain semidirect products. Israel J. Math. 24, 45–58 (1976). https://doi.org/10.1007/BF02761428

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  • DOI: https://doi.org/10.1007/BF02761428

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