Drinfeld-Sokolov reduction on a simple lie algebra from the bihamiltonian point of view |
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Authors: | Paolo Casati Marco Pedroni |
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Affiliation: | (1) Dottorato in Matematica, Università di Torino, Via Principe Amedeo 8, I-10123 Torino, Italy;(2) Dottorato in Matematica, Università di Milano, Via C. Saldini 50, I-20133 Milano, Italy |
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Abstract: | We show that the Drinfeld-Sokolov reduction can be framed in the general theory of bihamiltonian manifolds, with the help of a specialized version of a reduction theorem for Poisson manifolds by Marsden and Ratiu.This work has been supported by the Italian MURST and by the GNFM of the Italian C.N.R. |
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Keywords: | Primary: 58F07 Secondary: 35Q53 |
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