Canonical objects in Kirillov theory on nilpotent Lie groups-Reference-Cited by-同舟云学术

Canonical objects in Kirillov theory on nilpotent Lie groups

Published:1977 Issue:1 Volume:66 Page:175-178
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Penney Richard C.

Abstract

It is shown that to each element f in the dual space of the Lie algebra of a nilpotent Lie group there is a uniquely defined subgroup K ∞ {K_\infty } for which the representation corresponding to f is inducible from a square-integrable-modulo-its-kernel representation of K ∞ {K_\infty } .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-066-01/S0002-9939-1977-0453922-7/S0002-9939-1977-0453922-7.pdf

Reference4 articles.

1. P. Bernat et al., Represéntations des groupes de Lie résolubles, Dunod, Paris, 1972.

2. L. Corwin, F. Greenleaf and R. Penney, A general character formula for the irreducible projections on 𝐿² of a nilmanifold (preprint).

3. Square integrable representations of nilpotent groups;Moore, Calvin C.;Trans. Amer. Math. Soc.,1973

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