Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups

被引：0

作者：

Beltita, Ingrid ^{[1
]}

Beltita, Daniel ^{[1
]}

Pascu, Mihai ^{[1
,2
]}

机构：

[1] Acad Romana, Inst Math Simion Stoilow, Bucharest, Romania

[2] Univ Petrol Gaze Ploiesti, Ploiesti, Romania

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 40卷

关键词：

Nilpotent Lie group; Coadjoint orbit; QUANTIZATION; ALGEBRAS;

D O I：

10.1016/j.difgeo.2015.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For certain nilpotent real Lie groups constructed as semidirect products, algebras of invariant differential operators on some coadjoint orbits are used in the study of boundedness properties of the Weyl-Pedersen calculus of their corresponding unitary irreducible representations. Our main result is applicable to all unitary irreducible representations of arbitrary 3-step nilpotent Lie groups. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：278 / 289

页数：12

共 6 条

[1] A Survey on Weyl Calculus for Representations of Nilpotent Lie Groups
Beltita, I.
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GEOMETRIC METHODS IN PHYSICS, 2009, 1191 : 7 - 20
[2] STABLE TRANSITIVITY FOR EXTENSIONS OF HYPERBOLIC SYSTEMS BY SEMIDIRECT PRODUCTS OF COMPACT AND NILPOTENT LIE GROUPS
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[3] On the irreducibility of some restrictions in nilpotent Lie groups
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[5] Lattices in some symplectic or affine nilpotent Lie groups
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[6] Some compatible Poisson structures and integrable bi-Hamiltonian systems on four dimensional and nilpotent six dimensional symplectic real Lie groups
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