Spectral synthesis for coadjoint orbits of nilpotent Lie groups

被引：0

作者：

Beltita, Ingrid ^{[1
]}

Ludwig, Jean ^{[2
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania

[2] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, F-57045 Metz, France

来源：

MATHEMATISCHE ZEITSCHRIFT | 2016年 / 284卷 / 3-4期

关键词：

Nilpotent Lie group; Spectral synthesis; Coadjoint orbit; Minimal ideal; Primary ideal; GROUP-ALGEBRAS; IDEALS;

D O I：

10.1007/s00209-016-1691-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the space of primary ideals in the group algebra of a connected nilpotent Lie group by identifying for every the family of primary ideals with hull with the family of invariant subspaces of a certain finite dimensional sub-space of the space of polynomials on G.

引用

页码：1111 / 1136

页数：26

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