Spectral synthesis for coadjoint orbits of nilpotent Lie groups

被引：0
作者：
Ingrid Beltiţă
Jean Ludwig
机构：
[1] Institute of Mathematics “Simion Stoilow” of the Romanian Academy,Institut Élie Cartan de Lorraine, UMR 7502
[2] Université de Lorraine,undefined
来源：
Mathematische Zeitschrift | 2016年 / 284卷
关键词：
Nilpotent Lie group; Spectral synthesis; Coadjoint orbit; Minimal ideal; Primary ideal; Primary 43A45; Secondary 43A20; 22E25; 22E27;
D O I：
暂无
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学科分类号：
摘要：
We determine the space of primary ideals in the group algebra L1(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{1}(G) $$\end{document} of a connected nilpotent Lie group by identifying for every π∈G^\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi \in \widehat{G} $$\end{document} the family Iπ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal I^\pi $$\end{document} of primary ideals with hull {π}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{\pi \} $$\end{document} with the family of invariant subspaces of a certain finite dimensional sub-space PQπ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal P_Q^\pi $$\end{document} of the space of polynomials P(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal P(G) $$\end{document} on G.
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页码：1111 / 1136
页数：25
相关论文
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