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

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

2012-01-28

arxiv.org/abs/1201.5979v1

Mathematics

Spectral Theory

5 pages

Scientific paper

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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