Elliptic Algebra \Apqsect in the Scaling Limit

1997/02/02 by S. Khoroshkin, D. V. Lebedev, D. Lebedev +1
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #funct-an #hep-th #math.FA #math.QA #msc:17B37 #msc:81R50 #q-alg

paper · pdf · doi:10.1007/s002200050254

Latex 2.09, 3 fig. under bezier.sty, macros uses AMS fonts, 27 pages

arxiv created 1997/02/02 · openalex publication_date 1998/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The scaling limit A_ℏ,η(sl₂) of the elliptic algebra A_q,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 A_ℏ,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.

Citations

• Quantization of solitons and the restricted sine-Gordon model