On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus

DOI10.1134/S0001434613070298zbMath1347.47027arXiv1201.5979OpenAlexW2963167086MaRDI QIDQ382393

Oleg I. Mokhov

Publication date: 18 November 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5979

zbMATH Keywords

Weyl algebracommuting operatorscommutative algebra

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Relationships between algebraic curves and integrable systems (14H70) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (13)

The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ Common eigenfunctions of commuting differential operators of rank 2 ⋮ Commuting differential operators of rank 2 with polynomial coefficients ⋮ Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2 ⋮ On rings of commuting partial differential operators ⋮ Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves ⋮ Commuting differential operators of rank 2 with trigonometric coefficients ⋮ Commuting Krichever-Novikov differential operators with polynomial coefficients ⋮ Commuting differential operators of rank 2 with rational coefficients ⋮ Centralizers of rank one in the first Weyl algebra ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Commuting elements in the first Weyl algebra over \(\mathbb{Q} \) ⋮ Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations

Cites Work

• Unnamed Item
• Unnamed Item
• Commuting rank 2 differential operators corresponding to a curve of genus 2
• Rational solutions for the equation of commutation of differential operators
• COMMUTING DIFFERENTIAL OPERATORS OF RANK 3, AND NONLINEAR DIFFERENTIAL EQUATIONS
• Commutative rings of ordinary linear differential operators
• A ring of commuting differential operators of rank 2 corresponding to a curve of genus 2
• Sur les algèbres de Weyl

This page was built for publication: On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus