• Title, Summary, Keyword: the first Weyl algebra

Search Result 1, Processing Time 0.022 seconds

ON COMMUTING ORDINARY DIFFERENTIAL OPERATORS WITH POLYNOMIAL COEFFICIENTS CORRESPONDING TO SPECTRAL CURVES OF GENUS TWO

  • Davletshina, Valentina N.;Mironov, Andrey E.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.54 no.5
    • /
    • pp.1669-1675
    • /
    • 2017
  • The group of automorphisms of the first Weyl algebra acts on commuting ordinary differential operators with polynomial coefficient. In this paper we prove that for fixed generic spectral curve of genus two the set of orbits is infinite.