The structure of quotients of the Onsager algebra by closed ideals *The structure of quotients of the Onsager algebra by closed ideals
Abstract
We study the Onsager algebra from the ideal theoretic point of view. A complete classification of closed ideals and the structure of quotient algebras are obtained. We also discuss the solvable algebra aspect of the Onsager algebra through the use of formal Lie algebras.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2000
 DOI:
 10.1088/03054470/33/16/316
 arXiv:
 arXiv:math/9911018
 Bibcode:
 2000JPhA...33.3275D
 Keywords:

 Mathematics  Quantum Algebra;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics;
 Mathematics  Combinatorics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 81R10;
 17B65;
 17B67
 EPrint:
 33 pages, Latex, small topos correctedJournal version