Theoretical and Mathematical Physics

, Volume 107, Issue 2, pp 561–567 | Cite as

Poisson reduction of the lattice Kac-Moody algebra

  • G. E. Arutyunov
  • P. B. Medvedev


The Poisson reduction of the SL(N) lattice Kac-Moody algebra under the action of the maximum nilpotent subgroup of SL(N) is considered. Poisson brackets on the reduced phase space are constructed. For N=2 in the continuous limit, their relation to the Gelfand-Fuchs cocycle is pointed out.


Phase Space Poisson Bracket Continuous Limit Nilpotent Subgroup Reduce Phase Space 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • G. E. Arutyunov
    • 1
    • 2
  • P. B. Medvedev
    • 1
    • 2
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.Institute of Theoretical and Experimental PhysicsMoscowRussia

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