Universidad Complutense de Madrid
E-Prints Complutense

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

Impacto

Downloads

Downloads per month over past year

Campoamor Stursberg, Otto Ruttwig (2006) Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 2 (028). pp. 1-11. ISSN 1815-0659

[img]
Preview
PDF
157kB

Official URL: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sigma&paperid=56&option_lang=eng




Abstract

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 algebras in (3+1)-dimensions. Moreover it is shown, also for kinematical algebras, how some reductions on these matrices are useful for determining the missing operators in the missing label problem (MLP).


Item Type:Article
Uncontrolled Keywords:Casimir operator; characteristic polynomial; Lie algebra; missing label; kinematical group
Subjects:Sciences > Mathematics > Algebra
ID Code:21698
Deposited On:05 Jun 2013 16:00
Last Modified:18 Feb 2019 12:00

Origin of downloads

Repository Staff Only: item control page