Commuting Ordinary Differential Operators with Polynomial Coefficients and Automorphisms of the First Weyl Algebra

DOI10.1093/imrn/rnv218zbMath1404.13030arXiv1503.00485OpenAlexW1914481819MaRDI QIDQ4560435

Alexander Zheglov, Andrey E. Mironov

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00485

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Commutative rings of differential operators and their modules (13N10)

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The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two ⋮ Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2 ⋮ Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ An algorithm for construction of commuting ordinary differential operators by geometric data ⋮ Commuting differential operators of rank 2 with rational coefficients ⋮ Centralizers of rank one in the first Weyl algebra ⋮ Fourier–Mukai transform on Weierstrass cubics and commuting differential operators ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Higher-order Bessel equations integrable in elementary functions ⋮ Commuting elements in the first Weyl algebra over \(\mathbb{Q} \)

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