POISSON STRUCTURES ON THE LORENTZ GROUP

被引：33
|
作者：
ZAKRZEWSKI, S
机构：
[1] Department of Mathematical Methods in Physics, University of Warsaw, Warsaw, 00-682
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1994年 / 32卷 / 01期
关键词：
D O I：
10.1007/BF00761120
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Poisson-Lie structures on the Lorentz group are completely classified. A method applicable to an arbitrary semisimple complex Lie group (treated as real) is developed.
引用
收藏
页码：11 / 23
页数：13
相关论文
共 50 条
  • [1] Poisson structures on the Galilei group
    Brihaye, Y
    Kowalczyk, E
    Maslanka, P
    MODERN PHYSICS LETTERS A, 2001, 16 (4-6) : 321 - 324
  • [2] Poisson Structures on the Poincaré Group
    S. Zakrzewski
    Communications in Mathematical Physics, 1997, 185 : 285 - 311
  • [3] Poisson structures on Poincare group
    Zakrzewski, S
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 185 (02) : 285 - 311
  • [4] Linearization of Poisson Lie group structures
    Alekseev, Anton
    Meinrenken, Eckhard
    JOURNAL OF SYMPLECTIC GEOMETRY, 2016, 14 (01) : 227 - 267
  • [5] On Poisson structures related to κ-Poincare Group
    Stachura, Piotr
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (09)
  • [6] Poisson-Lie structures on the Galilei group
    Brihaye, Y
    Kowalczyk, E
    Maslanka, P
    ACTA PHYSICA POLONICA B, 2003, 34 (05): : 2589 - 2609
  • [7] Some formulas for Legendre functions related to the Poisson transform and Lorentz group representation
    Shilin, I. A.
    Nizhnikov, A. I.
    ALGEBRA, GEOMETRY, AND MATHEMATICAL PHYSICS 2010, 2012, 346
  • [8] Poisson-Lie group structures on semidirect products
    Elzinga, Floris
    Yamashita, Makoto
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2024, 18 (01) : 631 - 655
  • [9] The Lorentz Group
    Brezov, Danail
    JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2016, 42 : 95 - 98
  • [10] LORENTZ TRANSFORMATIONS AS LIE-POISSON SYMMETRIES
    SIMONI, A
    STERN, A
    YAKUSHIN, I
    JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (10) : 5588 - 5597
12345