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arXiv 1997-02-02 DOI 10.1007/s002200050254 0 views

Elliptic algebra Aq,ₚ(sl₂) in the scaling limit

Khoroshkin, S. · Lebedev, D. · Pakuliak, S.

Original · EN

The scaling limit Aℏ,η(sl₂) of the elliptic algebra Aq,ₚ(sl₂) 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. Ding-Frenkel isomorphism between L-operator's and current descriptions of the algebra Aℏ,η(sl₂) is established and is identified with the Riemann problem on a strip. The representations, coalgebraic structure and intertwining operators of the algebra are studied.

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