English

The algebraic structure of the Onsager algebra

Statistical Mechanics 2009-10-31 v1 Quantum Algebra

Abstract

We study the Lie algebra structure of the Onsager algebra from the ideal theoretic point of view. A structure theorem of ideals in the Onsager algebra is obtained with the connection to the finite-dimensional representations. We also discuss the solvable algebra aspect of the Onsager algebra through the formal Lie algebra theory.

Keywords

Cite

@article{arxiv.cond-mat/0002418,
  title  = {The algebraic structure of the Onsager algebra},
  author = {Etsuro Date and Shi-shyr Roan},
  journal= {arXiv preprint arXiv:cond-mat/0002418},
  year   = {2009}
}

Comments

7 pages, Latex; Contribution to the 8th Colloquium "Quantum groups and integrable systems", held at Prague, 17-19 June 1999