Coadjoint Poisson Actions of Poisson-Lie Groups

被引：0

作者：

Boris A. Kupershmidt

Ognyan S. Stoyanov

机构：

[1] University of Tennessee Space Institute,Department of Mathematics

[2] Rutgers University,Department of Mathematics

来源：

Journal of Nonlinear Mathematical Physics | 1999年 / 6卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.

引用

页码：344 / 354

页数：10

共 50 条

[1] Coadjoint Poisson actions of Poisson-Lie groups
Kupershmidt, BA
Stoyanov, OS
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 1999, 6 (03) : 344 - 354
[2] ON POISSON HOMOGENEOUS SPACES OF POISSON-LIE GROUPS
DRINFELD, VG
THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 95 (02) : 524 - 525
[3] Poisson-Lie diffeomorphism groups
Stoyanov, OS
LETTERS IN MATHEMATICAL PHYSICS, 2001, 57 (03) : 185 - 223
[4] Integrability of Poisson-Lie Group Actions
Fernandes, Rui Loja
Iglesias Ponte, David
LETTERS IN MATHEMATICAL PHYSICS, 2009, 90 (1-3) : 137 - 159
[5] Geometry of Tangent Poisson-Lie Groups
Al-Dayel, Ibrahim
Aloui, Foued
Deshmukh, Sharief
MATHEMATICS, 2023, 11 (01)
[6] Quantization of Poisson-Lie groups and applications
Bidegain, F
Pinczon, G
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 179 (02) : 295 - 332
[7] POISSON-LIE QUASI-GROUPS
BANGOURA, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (09): : 975 - 978
[8] Poisson-Lie Groups and Gauge Theory
Meusburger, Catherine
SYMMETRY-BASEL, 2021, 13 (08):
[9] Metacurvature of Riemannian Poisson-Lie groups
Bahayou, Amine
Boucetta, Mohamed
JOURNAL OF LIE THEORY, 2009, 19 (03) : 439 - 462
[10] Reduced Riemannian Poisson manifolds and Riemannian Poisson-Lie groups
Aloui, Foued
Zaalani, Nadhem
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2020, 68

← 1 2 3 4 5 →