dc.contributor.author Carpentier, Sylvain dc.contributor.author De Sole, Alberto dc.contributor.author Kac, Victor G dc.contributor.author Valeri, Daniele dc.contributor.author van de Leur, Johan dc.date.accessioned 2021-09-20T17:30:38Z dc.date.available 2021-09-20T17:30:38Z dc.date.issued 2020-08-04 dc.identifier.uri https://hdl.handle.net/1721.1/131852 dc.description.abstract Abstract en_US For each partition $$\underline{p}$$ p ̲ of an integer $$N\ge 2$$ N ≥ 2 , consisting of r parts, an integrable hierarchy of Lax type Hamiltonian PDE has been constructed recently by some of us. In the present paper we show that any tau-function of the $$\underline{p}$$ p ̲ -reduced r-component KP hierarchy produces a solution of this integrable hierarchy. Along the way we provide an algorithm for the explicit construction of the generators of the corresponding classical $$\mathcal {W}$$ W -algebra $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$ W ( gl N , p ̲ ) , and write down explicit formulas for evolution of these generators along the commuting Hamiltonian flows. dc.publisher Springer Berlin Heidelberg en_US dc.relation.isversionof https://doi.org/10.1007/s00220-020-03817-x en_US dc.rights Creative Commons Attribution-Noncommercial-Share Alike en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/4.0/ en_US dc.source Springer Berlin Heidelberg en_US dc.title $$\underline{p}$$ p ̲ -reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$ W -algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$ W ( gl N , p ̲ ) en_US dc.type Article en_US dc.eprint.version Author's final manuscript en_US dc.type.uri http://purl.org/eprint/type/JournalArticle en_US eprint.status http://purl.org/eprint/status/PeerReviewed en_US dc.date.updated 2020-11-04T04:25:28Z dc.language.rfc3066 en dc.rights.holder Springer-Verlag GmbH Germany, part of Springer Nature dspace.embargo.terms Y dspace.date.submission 2020-11-04T04:25:28Z mit.license OPEN_ACCESS_POLICY mit.metadata.status Authority Work and Publication Information Needed
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