Contraction of broken symmetries via Kac-Moody formalism

DOI10.1063/1.2234726zbMath1112.81050arXivmath-ph/0608008OpenAlexW2035286428MaRDI QIDQ3442008

Jamil Daboul

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608008

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Atomic physics (81V45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Celestial mechanics (70F15)

Related Items (1)

Gradings and contractions of affine Kac–Moody algebras

Cites Work

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• Completeness of superintegrability in two-dimensional constant-curvature spaces
• Exact solvability of superintegrable systems
• Contraction of Lie Groups
• A class of integrable potentials
• Generalisations of the LaplaceRungeLenz Vector
• The first integrals and their Lie algebra of the most general autonomous Hamiltonian of the form H = T + V possessing a Laplace-Runge-Lenz vector
• On the Contraction of Groups and Their Representations

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