The algebraic structure of the Onsager 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.

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

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