Wednesday, February 1, 2012

1201.5979 (O. I. Mokhov)

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

O. I. Mokhov
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.
View original: http://arxiv.org/abs/1201.5979

No comments:

Post a Comment