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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The boson-fermion correspondence from linear ODEs

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Author(s):
Gatto, Letterio [1] ; Salehyan, Parham [2]
Total Authors: 2
Affiliation:
[1] Politecn Torino, Dipartimento Sci Matemat, Turin - Italy
[2] IBILCE UNESP, Sao Jose Do Rio Preto - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Algebra; v. 415, p. 162-183, OCT 1 2014.
Web of Science Citations: 2
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. (AU)

FAPESP's process: 12/02869-1 - The ubiquity of Wronskians in mathematics, with emphasis in algebraic geometry
Grantee:Parham Salehyan
Support Opportunities: Research Grants - Visiting Researcher Grant - International