The algebraic structure of the Onsager algebra

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1023/A:1022812728907

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.

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