The boson-fermion correspondence from linear ODEs

Autor(es)

Gatto, Letterio ^[1] ; Salehyan, Parham ^[2]

Afiliação do(s) autor(es)

^[1] Politecn Torino, Dipartimento Sci Matemat, Turin - Italy

^[2] IBILCE UNESP, Sao Jose Do Rio Preto - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 415, p. 162-183, OCT 1 2014.
• Citações Web of Science: 2

Resumo

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. (AU)

• Processo FAPESP: 12/02869-1 - A ubiquidade de Wronskianos em matemática, com ênfase na geometria algébrica
• Beneficiário: Parham Salehyan
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional