The Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n)

zbMath1196.14038arXiv0811.0835MaRDI QIDQ3181831

Mark Colarusso

Publication date: 12 October 2009

Full work available at URL: https://arxiv.org/abs/0811.0835

zbMATH Keywords

quantizationcompletely integrable systemLagrangian foliationGelfand-Zeitlin algebraadjoint orbit

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geometric quantization (53D50)

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Irreducible subquotients of generic Gelfand-Tsetlin modules over \(U_q(\mathfrak{gl}_n)\)

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