Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584741 | Journal of Algebra | 2014 | 22 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Letterio Gatto, Parham Salehyan,