Elliptic Algebra in the Scaling Limit

Abstract:

The scaling limit of the elliptic algebra is investigated. The limiting algebra is defined in terms of a continuous family of generators being Fourier harmonics of Gauss coordinates of the L-operator. The Ding-Frenkel isomorphism between L-operator's and current descriptions of the algebra is established and is identified with the Riemann problem on a strip. The representations, coalgebraic structure and intertwining operators of the algebra are studied.