dc.contributor.author | De Sole, Alberto | |
dc.contributor.author | Valeri, Daniele | |
dc.contributor.author | Kac, Victor | |
dc.date.accessioned | 2015-01-15T19:32:20Z | |
dc.date.available | 2015-01-15T19:32:20Z | |
dc.date.issued | 2013-08 | |
dc.identifier.issn | 0010-3616 | |
dc.identifier.issn | 1432-0916 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/92904 | |
dc.description.abstract | We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classical W-algebras within the framework of Poisson vertex algebras. In this context, the gauge group action on the phase space is translated in terms of (the exponential of) a Lie conformal algebra action on the space of functions. Following the ideas of Drinfeld and Sokolov, we then establish under certain sufficient conditions the applicability of the Lenard-Magri scheme of integrability and the existence of the corresponding integrable hierarchy of bi-Hamiltonian equations. | en_US |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1007/s00220-013-1785-z | 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 | arXiv | en_US |
dc.title | Classical W-Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras | en_US |
dc.type | Article | en_US |
dc.identifier.citation | De Sole, Alberto, Victor G. Kac, and Daniele Valeri. “Classical W-Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras.” Commun. Math. Phys. 323, no. 2 (August 22, 2013): 663–711. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Kac, Victor | en_US |
dc.relation.journal | Communications in Mathematical Physics | 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 |
dspace.orderedauthors | De Sole, Alberto; Kac, Victor G.; Valeri, Daniele | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-2860-7811 | |
mit.license | OPEN_ACCESS_POLICY | en_US |
mit.metadata.status | Complete | |