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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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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1007/BF02071369}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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