Contractions of degenerate quadratic algebras, abstract and geometric

DOI10.3842/SIGMA.2017.099zbMath1381.22016arXiv1708.02280MaRDI QIDQ1692228

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

Publication date: 26 January 2018

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

Full work available at URL: https://arxiv.org/abs/1708.02280

zbMATH Keywords

Poisson structuresquadratic algebrasconformal superintegrabilitysuperintegrable systemsBôcher contractions

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) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Representation theory of associative rings and algebras (16G99)

Related Items (1)

Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups

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