On uniqueness of commutative rings of Weyl group invariant differential operators

DOI10.2977/PRIMS/1195145450zbMath0894.58027OpenAlexW1987603139MaRDI QIDQ1364333

Kenji Taniguichi

Publication date: 7 September 1998

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195145450

zbMATH Keywords

Weyl groupLaplace operatorcommutative ringselliptic potentialsrational potentialstrigonometric potential

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Unnamed Item
• Quantum systems related to root systems, and radial parts of Laplace operators
• Algebraic integrability for the Schrödinger equation and finite reflection groups
• Commuting families of symmetric differential operators

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