Bôcher and abstract contractions of 2nd order quadratic algebras

DOI10.3842/SIGMA.2017.013zbMath1404.17045arXiv1611.02560MaRDI QIDQ517707

Mauricio A. Escobar-Ruiz, Willard jun. Miller, Eyal Subag, Ernest G. Kalnins

Publication date: 27 March 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02560

zbMATH Keywords

quadratic algebrascontractionsconformal superintegrabilitysuperintegrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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