The boson-fermion correspondence from linear ODEs

Gatto, Letterio; Salehyan, Parham

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/116581

Title:

The boson-fermion correspondence from linear ODEs

Author(s):

Institution:

Politecn Torino
Universidade Estadual Paulista (UNESP)

ISSN:

0021-8693

Sponsorship:

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
IBILCEUNESP, Campus of Sao Jose do Rio Preto
PRIN "Geometria sulle Variet'a Algebriche"
Politecnico di Torino

Sponsorship Process Number:

FAPESP: 12/02869-1
IBILCEUNESP, Campus of Sao Jose do Rio Preto0326/004/13-PROPG/CDC
PRIN Geometria sulle Variet'a Algebriche2010S47ARA-009
Politecnico di TorinoI. C. 11-RIL09CAS03

Abstract:

There 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.

Issue Date:

1-Oct-2014

Citation:

Journal Of Algebra. San Diego: Academic Press Inc Elsevier Science, v. 415, p. 162-183, 2014.

Time Duration:

162-183

Publisher:

Elsevier B.V.

Keywords:

Generic linear ODEs
Schubert calculus
Boson-fermion correspondence
Bosonic and fermionic representations of the Heisenberg algebra

Source:

http://dx.doi.org/10.1016/j.jalgebra.2014.05.030

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/116581

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