Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Escobar Ruiz, M.A., Kalnins, E.G., Miller Jr., W., Subag, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148617
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras / M.A. Escobar Ruiz, E.G. Kalnins, W. Miller Jr., E. Suba // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 37 назв. — англ.

Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrable systems are exactly solvable physical systems in classical and quantum mechanics. Distinct superintegrable systems and...