Theoretical and Mathematical Physics

, Volume 120, Issue 2, pp 1019–1025 | Cite as

Generalized Heisenberg equations on ℤ-graded Lie algebrasLie algebras

  • I. Z. Golubchik
  • V. V. Sokolov
Article

Abstract

We study the integrable systems of the Heisenberg equation type that correspond to different decompositions of ℤ-graded Lie algebras into a direct sum of two subalgebras. We discover new non-Abelian generalizations of some known integrable models.

Keywords

Current Algebra Semisimple Element Heisenberg Equation Jordan Pair Jordan System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • I. Z. Golubchik
    • 1
  • V. V. Sokolov
    • 2
  1. 1.Ufa Pedagogical InstituteUfaRussia
  2. 2.Landau Institute for Theoretical PhysicsRASChernogolovkaRussia

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