Quantum Groups and Lie Theory

This collection provides an overview of current approaches, issues, and practices in the teaching of English to speakers of other languages. This book provides an overview of current approaches, issues, and practices in the teaching of English to speakers of other languages. The anthology offers a comprehensive overview to the teaching of English and illustrates the complexity underlying many of the practical planning and instructional activities it involves. Organized into 16 sections, the book contains 41 seminal articles by well-known teacher trainers and researchers. Also included are two sets of discussion questions - a pre-reading background set and a post-reading reflection set. This anthology serves as an important resource for teachers wishing to design a basic course in methodology.Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems.