On the symmetry of commuting differential operators with singularities along hyperplanes

DOI10.1155/S1073792804132376zbMath1086.37030arXivmath-ph/0309011OpenAlexW2158190174MaRDI QIDQ5693346

Kenji Taniguchi

Publication date: 24 September 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0309011

zbMATH Keywords

Schrödinger operatorcommutantsWeyl group symmetryinverse square singularitiesimplete integrability

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Relations with arrangements of hyperplanes (32S22) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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