On Uniqueness of Commutative Rings of Weyl Group Invariant Differential Operators

  • Kenji Taniguchi

    University of Tokyo, Japan

Abstract

The uniqueness of commutative rings of classical Weyl group invariant differential operators is discussed. We show this uniqueness for trigonometric or elliptic potential cases under some order conditions. For rational potential cases, counter examples are constructed.

Cite this article

Kenji Taniguchi, On Uniqueness of Commutative Rings of Weyl Group Invariant Differential Operators. Publ. Res. Inst. Math. Sci. 33 (1997), no. 2, pp. 257–276

DOI 10.2977/PRIMS/1195145450