Felder, Giovanni Conformal field theory and integrable systems associated to elliptic curves. (English) Zbl 0852.17014 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1247-1255 (1995). The author defines an “elliptic quantum group”, starting with a certain solution of (a generalisation of) the quantum Yang-Baxter equation depending on theta functions, and using the standard construction due to the St. Petersburg school. This elliptic quantum group is an analogue of Yangians and quantum affine algebras, which would by obtained by the same construction starting from rational or trigonometric solutions of the quantum Yang-Baxter equation, respectively.For the entire collection see [Zbl 0829.00015]. Reviewer: A.N.Pressley (London) Cited in 8 ReviewsCited in 65 Documents MSC: 17B37 Quantum groups (quantized enveloping algebras) and related deformations 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 14H52 Elliptic curves Keywords:elliptic quantum group; quantum Yang-Baxter equation PDFBibTeX XMLCite \textit{G. Felder}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1247--1255 (1995; Zbl 0852.17014) Full Text: arXiv