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A deformation approach of the Kirillov map for exponential groups
-
Ali Baklouti
,
Sami Dhieb
Published/Copyright:
September 21, 2010
Abstract
We outline an approach of the Kirillov map for exponential groups based on deformations, and suggest a possible way towards an alternative proof of the Leptin–Ludwig bicontinuity theorem [Unitary representation theory of exponential Lie groups, W.De Gruyter, 1994.] along these lines.
Keywords.: Lie groups; Lie algebras; deformations; solvable Lie groups; exponential Lie groups; Kirillov map
Received: 2010-03-30
Revised: 2010-07-25
Published Online: 2010-09-21
Published in Print: 2011-September
© de Gruyter 2011
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- On the multiplicity formula of compact nilmanifolds with flat orbits
- Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types
- Atomic decomposition of a real Hardy space for Jacobi analysis
- Unitary holomorphic multiplier representations over a homogeneous bounded domain
- A deformation approach of the Kirillov map for exponential groups
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- A Paley–Wiener theorem for some eigenfunction expansions
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Keywords for this article
Lie groups;
Lie algebras;
deformations;
solvable Lie groups;
exponential Lie groups;
Kirillov map
Articles in the same Issue
- Geometric and harmonic analysis on homogeneous spaces
- On the multiplicity formula of compact nilmanifolds with flat orbits
- Hilbert transform and related topics associated with Jacobi–Dunkl operators of compact and noncompact types
- Atomic decomposition of a real Hardy space for Jacobi analysis
- Unitary holomorphic multiplier representations over a homogeneous bounded domain
- A deformation approach of the Kirillov map for exponential groups
- Visible actions on the non-symmetric homogeneous space SO(8, ℂ)/G2(ℂ)
- A Paley–Wiener theorem for some eigenfunction expansions
- Estimate of the Lp-Fourier transform norm for connected nilpotent Lie groups
