Open Access
Fall 2011 Compact actions, retract theory and prime ideals
Raza Lahiani, Carine Molitor-Braun
Illinois J. Math. 55(3): 1235-1266 (Fall 2011). DOI: 10.1215/ijm/1369841804

Abstract

Let $N$ be a connected, simply connected, nilpotent Lie group and let $K$ be a compact subgroup of the automorphism group of $N$. We study the density of Schwartz functions in the kernels of $K$-orbits and characterize $K$-prime ideals. For this purpose a retract theory for $K$-actions has to be established.

Citation

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Raza Lahiani. Carine Molitor-Braun. "Compact actions, retract theory and prime ideals." Illinois J. Math. 55 (3) 1235 - 1266, Fall 2011. https://doi.org/10.1215/ijm/1369841804

Information

Published: Fall 2011
First available in Project Euclid: 29 May 2013

zbMATH: 1273.22011
MathSciNet: MR3069303
Digital Object Identifier: 10.1215/ijm/1369841804

Subjects:
Primary: 22E27 , 22E30 , 43A20

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 3 • Fall 2011
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