SPECTRAL SYNTHESIS FOR FLAT ORBITS IN THE DUAL SPACE OF WEIGHTED GROUP ALGEBRAS OF NILPOTENT LIE GROUPS

被引：0

作者：

Ludwig, J. ^{[1
]}

Molitor-Braun, C. ^{[2
]}

Poguntke, D. ^{[3
]}

机构：

[1] Univ Lorraine, UMR 7122, Lab LMAM, F-57045 Metz 1, France

[2] Univ Luxembourg, Unite Rech Math, L-1359 Luxembourg, Luxembourg

[3] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 08期

关键词：

Nilpotent Lie group; irreducible representation; co-adjoint orbit; flat orbit; minimal ideal; spectral synthesis; weighted group algebra; IRREDUCIBLE REPRESENTATIONS; IDEALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G = exp(g) be a connected, simply connected, nilpotent Lie group and let omega be a continuous symmetric weight on G with polynomial growth. We determine the structure of all the two-sided closed ideals of the weighted group algebra L-omega(1)(G) which are attached to a flat co-adjoint orbit.

引用

页码：4433 / 4473

页数：41

共 50 条

[1] Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits
Mantoiu, M.
Ruzhansky, M.
[J]. JOURNAL OF GEOMETRIC ANALYSIS, 2019, 29 (03) : 2823 - 2861
[2] Quantizations on Nilpotent Lie Groups and Algebras Having Flat Coadjoint Orbits
M. Măntoiu
M. Ruzhansky
[J]. The Journal of Geometric Analysis, 2019, 29 : 2823 - 2861
[3] Spectral synthesis for coadjoint orbits of nilpotent Lie groups
Ingrid Beltiţă
Jean Ludwig
[J]. Mathematische Zeitschrift, 2016, 284 : 1111 - 1136
[4] Spectral synthesis for coadjoint orbits of nilpotent Lie groups
Beltita, Ingrid
Ludwig, Jean
[J]. MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (3-4) : 1111 - 1136
[5] GROUP ALGEBRAS OF NILPOTENT LIE-GROUPS
LEPTIN, H
[J]. STUDIA MATHEMATICA, 1973, 47 (01) : 37 - 49
[6] The second cohomology groups of nilpotent orbits in classical Lie algebras
Biswas, Indranil
Chatterjee, Pralay
Maity, Chandan
[J]. KYOTO JOURNAL OF MATHEMATICS, 2020, 60 (02) : 717 - 799
[7] ON DEGENERACY OF ORBITS OF NILPOTENT LIE ALGEBRAS
Loboda, A., V
Kaverina, V. K.
[J]. UFA MATHEMATICAL JOURNAL, 2022, 14 (01): : 53 - 77
[8] NILPOTENT LIE GROUPS HAVE SYMMETRIC GROUP ALGEBRAS
POGUNTKE, D
[J]. MATHEMATISCHE ANNALEN, 1977, 227 (01) : 51 - 59
[9] ON THE SPECTRAL-SYNTHESIS PROBLEM FOR POINTS IN THE DUAL OF A NILPOTENT LIE GROUP
LUDWIG, J
[J]. ARKIV FOR MATEMATIK, 1983, 21 (01): : 127 - 144
[10] C*-Algebras with Norm Controlled Dual Limits and Nilpotent Lie Groups
Ludwig, Jean
Regeiba, Hedi
[J]. JOURNAL OF LIE THEORY, 2015, 25 (03) : 613 - 655

← 1 2 3 4 5 →