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The algebraic structure of the Onsager algebra

Etsuro Date, Shi-shyr Roan

cond-mat.stat-mecharXiv:cond-mat/0002418

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.

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