Generalized MICZ-Kepler problems and unitary highest weight modules, II

DOI10.1112/jlms/jdq019zbMath1189.81053arXiv0704.2936OpenAlexW2021067854WikidataQ60132280 ScholiaQ60132280MaRDI QIDQ3566383

Guowu Meng

Publication date: 7 June 2010

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2936

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) (n)-body problems (70F10)

Related Items (8)

Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem ⋮ Families of symmetries and the hydrogen atom ⋮ Perturbed \((2n - 1)\)-dimensional Kepler problem and the nilpotent adjoint orbits of \(\operatorname{U}(n, n)\) ⋮ The classical dynamic symmetry for the \(\mathrm{U}(1)\)-Kepler problems ⋮ Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem ⋮ Euclidean Jordan algebras, hidden actions, and J-Kepler problems ⋮ The U(1)-Kepler Problems ⋮ Generalized MICZ-Kepler problems and unitary highest weight modules

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