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

2012/01/28 by O. I. Mokhov, Mokhov, O. I. · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.MP #math.SP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1201.5979

5 pages

arxiv created 2012/01/28 · arxiv updated 2012/01/31

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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• Commuting ordinary differential operators of arbitrary genus and arbitrary rank with polynomial coefficients

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