Author: Jonathan BeckPublisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
Representations of Quantum Groups at Even Roots of Unity
Author: Jonathan BeckQuantum Groups and Their Representations
Author: Anatoli KlimykPublisher: Springer Science & Business Media
ISBN: 3642608965
Category : Science
Languages : en
Pages : 568
Book Description
This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.
Roots of Unity
Author: Ansgar Wolfgang SchnizerPublisher:
ISBN:
Category : Quantum groups
Languages : en
Pages : 19
Book Description
Abstract: "Representations of Quantum Groups U[subscript [epsilon]](g[subscript n]), g[subscript n] any semi simple Lie algebra of rank n, are constructed from arbitrary representations of rank n - 1 quantum groups for [epsilon] a root of unity. Representations which have the maximal dimension and number of free parameters for irreducible representations arise as special cases."
Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic
Author: H.H. AndersenRepresentation Theory of Algebraic Groups and Quantum Groups
Author: Akihiko GyojaPublisher: Springer Science & Business Media
ISBN: 0817646973
Category : Mathematics
Languages : en
Pages : 356
Book Description
Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
Roots of Unity: Representation of Quantum Groups
Author: W. A. SchnizerRepresentations of Quantum Groups at a [rho]-th Root of Unity and of Semisimple Groups in Characteristic [rho]: Independence of [rho]
![Representations of Quantum Groups at a [rho]-th Root of Unity and of Semisimple Groups in Characteristic [rho]: Independence of [rho] PDF](https://books.google.com/books/content/images/frontcover/c2alngEACAAJ?fife=w80-h100)
Author: H. H. AndersenRepresentations of quantum groups at a p-TH root of unity and of semisimple groups in characteristic p: independence of p
Author: Henning Hellmuth AndersenPublisher:
ISBN:
Category :
Languages : en
Pages : 321
Book Description
Representations of Quantum Groups in the Root of Unity Case
Author: A Guide to Quantum Groups
Author: Vyjayanthi ChariPublisher: Cambridge University Press
ISBN: 9780521558846
Category : Mathematics
Languages : en
Pages : 672
Book Description
Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups.