We first study the behavior of weights on a simply connected nilpotent Lie group G. Then for a subalgebra A of L¹(G) containing the Schwartz algebra 𝓢(G) as a dense subspace, we characterize all closed two-sided ideals of A whose hull reduces to one point which is a character.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-3-2,
author = {David Alexander and Jean Ludwig},
title = {Minimal ideals of group algebras},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {205-229},
zbl = {1047.43006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-3-2}
}
David Alexander; Jean Ludwig. Minimal ideals of group algebras. Studia Mathematica, Tome 162 (2004) pp. 205-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-3-2/