K orbits, harmonic analysis, and equations integrable in a four-dimensional Lie group

被引：0
|
作者：
Dianin S.I. [1 ]
Shirokov I.V. [1 ]
机构：
来源：
Russian Physics Journal | 1998年 / 41卷 / 10期
关键词：
Poisson Bracket; Casimir Operator; Symmetry Operator; Coadjoint Representation; Harmonic Analysis Method;
D O I：
10.1007/BF02514474
中图分类号：
学科分类号：
摘要：
Harmonie analysis is performed for a resoluble four-dimensional Lie group, which is used to integrate linear differential equations that are not integrable within the theory of variable separation. © 1999 Kluwer Academic/Plenum Publishers.
引用
收藏
页码：1033 / 1037
页数：4
相关论文
共 50 条
  • [1] Variationality of four-dimensional Lie group connections
    Ghanam, R
    Thompson, G
    Miller, EJ
    JOURNAL OF LIE THEORY, 2004, 14 (02) : 395 - 425
  • [2] Harmonic morphisms from four-dimensional Lie groups
    Gudmundsson, Sigmundur
    Svensson, Martin
    JOURNAL OF GEOMETRY AND PHYSICS, 2014, 83 : 1 - 11
  • [3] Einstein-Maxwell Equations on Four-dimensional Lie Algebras
    Koca, Caner
    Lejmi, Mehdi
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2019, 62 (04): : 822 - 840
  • [4] Para-hypercomplex structures on a four-dimensional Lie group
    Blazic, N
    Vukmirovic, S
    PROCEEDINGS OF THE WORKSHOP ON CONTEMPORARY GEOMETRY AND RELATED TOPICS, 2004, : 41 - 56
  • [5] THREE-DIMENSIONAL LOOPS AS SECTIONS IN A FOUR-DIMENSIONAL SOLVABLE LIE GROUP
    Figula, A.
    ISCHIA GROUP THEORY 2010, 2012, : 146 - 158
  • [6] Four-dimensional Lie group integration of the Klein-Fock equation
    Baranovskii S.P.
    Mikheev V.V.
    Shirokov I.V.
    Russian Physics Journal, 2002, 45 (11) : 1033 - 1041
  • [7] Deformations of four-dimensional lie algebras
    Fialowski, Alice
    Penkava, Michael
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2007, 9 (01) : 41 - 79
  • [8] Four-dimensional Lorentzian Lie groups
    Calvaruso, Giovanni
    Zaeim, Amirhesam
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2013, 31 (04) : 496 - 509
  • [9] Four-Dimensional Lie Algebras Revisited
    Manivel, Laurent
    Sturmfels, Bernd
    Sverrisdottir, Svala
    JOURNAL OF LIE THEORY, 2023, 33 (03) : 703 - 712
  • [10] Super integrable four-dimensional autonomous mappings
    Capel, H. W.
    Sahadevan, R.
    Rajakumar, S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (20) : 5373 - 5394
12345