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The boson-fermion correspondence from linear ODEs

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dc.contributor.authorGatto, Letterio
dc.contributor.authorSalehyan, Parham [UNESP]
dc.contributor.institutionPolitecn Torino
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2015-03-18T15:53:33Z
dc.date.available2015-03-18T15:53:33Z
dc.date.issued2014-10-01
dc.description.abstractThere is a bridge between generic linear Ordinary Differential Equations (ODEs), Schubert Calculus and the bosonic-fermionic representations of the Heisenberg algebra. For a finite-order generic linear ODE, the role of the bosonic space is played by the polynomial ring generated by the coefficients of the equation. The fermionic counterpart is constructed via wedging solutions to a generic linear ODE. Such natural spaces provide representations of Lie algebras which may be viewed as finitely generated approximations of the oscillator Heisenberg algebra. (C) 2014 Elsevier Inc. All rights reserved.en
dc.description.affiliationPolitecn Torino, Dipartimento Sci Matemat, Turin, Italy
dc.description.affiliationIBILCE UNESP, Sao Jose Do Rio Preto, Brazil
dc.description.affiliationUnespIBILCE UNESP, Sao Jose Do Rio Preto, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIBILCEUNESP, Campus of Sao Jose do Rio Preto
dc.description.sponsorshipPRIN "Geometria sulle Variet'a Algebriche"
dc.description.sponsorshipPolitecnico di Torino
dc.description.sponsorshipIdFAPESP: 12/02869-1
dc.description.sponsorshipIdIBILCEUNESP, Campus of Sao Jose do Rio Preto0326/004/13-PROPG/CDC
dc.description.sponsorshipIdPRIN Geometria sulle Variet'a Algebriche2010S47ARA-009
dc.description.sponsorshipIdPolitecnico di TorinoI. C. 11-RIL09CAS03
dc.format.extent162-183
dc.identifierhttp://dx.doi.org/10.1016/j.jalgebra.2014.05.030
dc.identifier.citationJournal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 415, p. 162-183, 2014.
dc.identifier.doi10.1016/j.jalgebra.2014.05.030
dc.identifier.issn0021-8693
dc.identifier.lattes3355840219680031
dc.identifier.orcid0000-0001-5885-5034
dc.identifier.urihttp://hdl.handle.net/11449/116581
dc.identifier.wosWOS:000339467500009
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofJournal Of Algebra
dc.relation.ispartofjcr0.675
dc.relation.ispartofsjr1,187
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectGeneric linear ODEsen
dc.subjectSchubert calculusen
dc.subjectBoson-fermion correspondenceen
dc.subjectBosonic and fermionic representations of the Heisenberg algebraen
dc.titleThe boson-fermion correspondence from linear ODEsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
dspace.entity.typePublication
unesp.author.lattes3355840219680031[2]
unesp.author.orcid0000-0002-3446-2663[1]
unesp.author.orcid0000-0001-5885-5034[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas