Classical elliptic current algebras. II

Stanislav PAKULIAK , Vladim

Abstract

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.