ON THE R-MATRIX INTERPRETATION OF BOGOYAVLENSKY LATTICES

被引：14
|
作者：
SURIS, YB
机构：
[1] Centre for Complex Systems and Visualisation, University of Bremen, 28334 Bremen
来源：
PHYSICS LETTERS A | 1994年 / 188卷 / 03期
关键词：
D O I：
10.1016/0375-9601(94)90448-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The interpretation of Hamiltonian structures and Lax representations for Bogoyavlensky lattices in the framework of the r-matrix theory is obtained. The two main components of this interpretation are: the general quadratic Poisson structure on associative algebras, and the Dirac reduction of Poisson brackets.
引用
收藏
页码：256 / 262
页数：7
相关论文
共 50 条
  • [31] Exercises with the universal R-matrix
    Boos, Herman
    Goehmann, Frank
    Kluemper, Andreas
    Nirov, Khazret S.
    Razumov, Alexander V.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (41)
  • [32] R-MATRIX RESONANCE PARAMETERS
    BERGEN, DW
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1968, 13 (11): : 1385 - &
  • [33] Structure of the string R-matrix
    Torrielli, Alessandro
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (05)
  • [34] WIGNERS INFINITE-PRODUCT REPRESENTATION OF THE R-MATRIX - REDERIVATION, INTERPRETATION, AND POTENTIAL APPLICATIONS
    ROBINSON, EJ
    PHYSICAL REVIEW A, 1986, 34 (03) : 1896 - 1904
  • [35] Bogoyavlensky Lattices and Generalized Catalan Numbers
    Adler, V. E.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2024, 31 (01) : 1 - 23
  • [36] R-MATRIX ANALYSIS CODE(RAC)
    Chen Zhenpeng Qi Huiquan (DEPARTMENT OF PHYSICS
    中国核科技报告, 1990, (S3) : 23 - 24
  • [37] What a Classical r-Matrix Really Is
    Boris A. Kupershmidt
    Journal of Nonlinear Mathematical Physics, 1999, 6 : 448 - 488
  • [38] On the R-Matrix Realization of Yangians and their Representations
    Daniel Arnaudon
    Alexander Molev
    Eric Ragoucy
    Annales Henri Poincaré, 2006, 7 : 1269 - 1325
  • [39] Upgrades to the R-matrix code SAMMY
    Larson, NM
    INTERNATIONAL CONFERENCE ON NUCLEAR DATA FOR SCIENCE AND TECHNOLOGY, PTS 1 AND 2, 2005, 769 : 286 - 289
  • [40] Universal R-Matrix of Quantum Affine
    Zhang, Huafeng
    LETTERS IN MATHEMATICAL PHYSICS, 2015, 105 (11) : 1587 - 1603
12345