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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 2, Pages 179–187
DOI: https://doi.org/10.4213/tmf1147 (Mi tmf1147) 		 
Poisson reduction of the lattice Kac–Moody algebra

G. E. Arutyunovab, P. B. Medvedevab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf1147
Abstract: The poisson reduction of the $SL(N)$ lattice Kac–Moody algebra under the action of the maximal nilpotent subgroup of $SL(N)$ is considered. Poisson brackets on the reduced phase space are constructed. For $N=2$ in the continuous limit they comprise with the Gelfand–Fuchs cocycle.
Received: 17.09.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 2, Pages 561–567
DOI: https://doi.org/10.1007/BF02071369
Bibliographic databases:
Language: Russian
Citation: G. E. Arutyunov, P. B. Medvedev, “Poisson reduction of the lattice Kac–Moody algebra”, TMF, 107:2 (1996), 179–187; Theoret. and Math. Phys., 107:2 (1996), 561–567
Citation in format AMSBIB
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\paper Poisson reduction of the lattice Kac--Moody algebra
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\pages 179--187
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\jour Theoret. and Math. Phys.
\yr 1996
\vol 107
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\pages 561--567
\crossref{https://doi.org/10.1007/BF02071369}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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