On the Dooley-Rice contraction of the principal series

Authors

  • Benjamin Cahen

DOI:

https://doi.org/10.1285/i15900932v33n2p83

Keywords:

Contraction of Lie groups, contraction of representations, semi-simple Lie group, semi-direct product, Cartan motion group, unitary representation, principal series, coadjoint orbit.

Abstract

In A. H. Dooley and J. W. Rice: On contractions of semisimple Lie groups}, Trans. Am. Math. Soc., (1985), Dooley and Rice introduced a contraction of the principal series representations of a non-compact semi-simple Lie group to the unitary irreducible representations of its Cartan motion group. We study here this contraction by using non-compact realizations of these representations.

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Published

12-02-2014

Issue

Volume 33, Issue 2 (2013)

Section

Articoli

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