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. 257–276DOI 10.2977/PRIMS/1195145450