Minimal ideals of group algebras

David Alexander; Jean Ludwig

Studia Mathematica (2004)

  • Volume: 160, Issue: 3, page 205-229
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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David Alexander, and Jean Ludwig. "Minimal ideals of group algebras." Studia Mathematica 160.3 (2004): 205-229. <http://eudml.org/doc/285262>.

@article{DavidAlexander2004,
abstract = {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.},
author = {David Alexander, Jean Ludwig},
journal = {Studia Mathematica},
keywords = {simply connected nilpotent Lie group; weight; Schwartz algebra; ideal; hull; Lie algebra; spectral synthesis; group algebra},
language = {eng},
number = {3},
pages = {205-229},
title = {Minimal ideals of group algebras},
url = {http://eudml.org/doc/285262},
volume = {160},
year = {2004},
}

TY - JOUR
AU - David Alexander
AU - Jean Ludwig
TI - Minimal ideals of group algebras
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 3
SP - 205
EP - 229
AB - 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.
LA - eng
KW - simply connected nilpotent Lie group; weight; Schwartz algebra; ideal; hull; Lie algebra; spectral synthesis; group algebra
UR - http://eudml.org/doc/285262
ER -

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