Elliptic Quantum Groups Representations and Related Geometry by Hitoshi Konno
English | PDF,EPUB | 2020 | 139 Pages | ISBN : 9811573867 | 12 MB
This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinite-dimensional representations, and a construction of the vertex operators as intertwining operators of these representations.