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arXiv · 1201.5979

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

O. I. Mokhov
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Abstract

We construct examples of commuting ordinary scalar differential operators with polynomial coefficients that are related to a spectral curve of an arbitrary genus g and to an arbitrary even rank r = 2k, and also to an arbitrary rank of the form r = 3k, of the vector bundle of common eigenfunctions of the commuting operators over the spectral curve.

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BibTeXRIS

O. I. Mokhov. 2012-01-28. On commutative subalgebras of the Weyl algebra that are related to commuting operators of arbitrary rank and genus. https://arxiv.org/abs/1201.5979

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