A construction of commutative rings of differential operators

DOI10.1007/BF01207721zbMath0813.47058MaRDI QIDQ1326059

Oleg A. Chalykh

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Lie algebracommutative rings of differential operatorsCalogoro-Sutherland quantum system

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

A class of Baker-Akhiezer arrangements ⋮ Integrability in the theory of Schrödinger operator and harmonic analysis

Cites Work

• Explicit formulae for spherical functions on symmetric spaces of type AII
• Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Commutative rings of partial differential operators and Lie algebras
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