The boson-fermion correspondence from linear ODEs

dc.contributorPolitecn Torino
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.creatorGatto, Letterio
dc.creatorSalehyan, Parham [UNESP]
dc.date2015-03-18T15:53:33Z
dc.date2015-03-18T15:53:33Z
dc.date2014-10-01
dc.date.accessioned2023-09-09T11:07:06Z
dc.date.available2023-09-09T11:07:06Z
dc.identifierhttp://dx.doi.org/10.1016/j.jalgebra.2014.05.030
dc.identifierJournal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 415, p. 162-183, 2014.
dc.identifier0021-8693
dc.identifierhttp://hdl.handle.net/11449/116581
dc.identifier10.1016/j.jalgebra.2014.05.030
dc.identifierWOS:000339467500009
dc.identifier3355840219680031
dc.identifier0000-0001-5885-5034
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8766066
dc.descriptionThere 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.
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionIBILCEUNESP, Campus of Sao Jose do Rio Preto
dc.descriptionPRIN "Geometria sulle Variet'a Algebriche"
dc.descriptionPolitecnico di Torino
dc.descriptionPolitecn Torino, Dipartimento Sci Matemat, Turin, Italy
dc.descriptionIBILCE UNESP, Sao Jose Do Rio Preto, Brazil
dc.descriptionIBILCE UNESP, Sao Jose Do Rio Preto, Brazil
dc.descriptionFAPESP: 12/02869-1
dc.descriptionIBILCEUNESP, Campus of Sao Jose do Rio Preto0326/004/13-PROPG/CDC
dc.descriptionPRIN Geometria sulle Variet'a Algebriche2010S47ARA-009
dc.descriptionPolitecnico di TorinoI. C. 11-RIL09CAS03
dc.format162-183
dc.languageeng
dc.publisherElsevier B.V.
dc.relationJournal Of Algebra
dc.relation0.675
dc.relation1,187
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectGeneric linear ODEs
dc.subjectSchubert calculus
dc.subjectBoson-fermion correspondence
dc.subjectBosonic and fermionic representations of the Heisenberg algebra
dc.titleThe boson-fermion correspondence from linear ODEs
dc.typeArtigo


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