2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150839The classical limit of the scaled elliptic algebra $A_{\hbar,η}(sl_2)$ is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic $sl_2$ valued functions on a strip and as an extended algebra of decreasing automorphic $sl_2$ valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $A_{q,p}(sl_2)$ is also briefly presented.LaTeX 2.09, 2 figs under bezier.sty, macros use AMS fonts, 18 pages One incorrect statement is corrected, note and 3 ref. are addedQuantum Algebra17B37 (Primary) 81R50 (Secondary)text