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Dirac reduction for Poisson vertex algebras

TitleDirac reduction for Poisson vertex algebras
Publication TypeJournal Article
Year of Publication2014
AuthorsDe Sole, A, Kac, VG, Valeri, D
JournalCommunications in Mathematical Physics 331, nr. 3 (2014) 1155-1190

We construct an analogue of Dirac's reduction for an arbitrary local or
non-local Poisson bracket in the general setup of non-local Poisson vertex
algebras. This leads to Dirac's reduction of an arbitrary non-local Poisson
structure. We apply this construction to an example of a generalized
Drinfeld-Sokolov hierarchy.


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