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Journal de théorie et applications du mensonge généralisé

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Classical elliptic current algebras. II

Abstract

Stanislav PAKULIAK , Vladimir RUBTSOV and Alexey SILANTYEV

This is a continuation of the previous paper “Classical elliptic current algebras. I“ [J. Gen. Lie Theory Appl. 2 (2002), 65–78]. We describe different degenerations of the classical elliptic algebras. They yield different versions of rational and trigonometric current algebras. We also review the averaging method of Faddeev-Reshetikhin, which allows to restore elliptic algebras from the trigonometric ones.

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