Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2006
• 1. Verfasser: Campoamor-Stursberg, R.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146428
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras / R. Campoamor-Stursberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 17 назв. — англ.

We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices whose characteristic polynomials provide the invariants of the kinematical algeb...