Introduction to Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Quantum Groups write by George Lusztig. This book was released on 2010-10-27. Introduction to Quantum Groups available in PDF, EPUB and Kindle. The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. The theory of quantum groups has led to a new, extremely rigid structure, in which the objects of the theory are provided with canonical basis with rather remarkable properties. This book will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists and to theoretical physicists and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the book could also be used as a text book.
Quantum Groups and Their Representations
Quantum Groups and Their Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Groups and Their Representations write by Anatoli Klimyk. This book was released on 2012-12-06. Quantum Groups and Their Representations available in PDF, EPUB and Kindle. 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.
Introduction to Quantum Groups and Crystal Bases
Introduction to Quantum Groups and Crystal Bases - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Quantum Groups and Crystal Bases write by Jin Hong. This book was released on 2002. Introduction to Quantum Groups and Crystal Bases available in PDF, EPUB and Kindle. The purpose of this book is to provide an elementary introduction to the theory of quantum groups and crystal bases, focusing on the combinatorial aspects of the theory.
Lectures on Quantum Groups
Lectures on Quantum Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Quantum Groups write by Pavel I. Etingof. This book was released on 2010. Lectures on Quantum Groups available in PDF, EPUB and Kindle.
Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach write by L.A. Lambe. This book was released on 2013-11-22. Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach available in PDF, EPUB and Kindle. Chapter 1 The algebraic prerequisites for the book are covered here and in the appendix. This chapter should be used as reference material and should be consulted as needed. A systematic treatment of algebras, coalgebras, bialgebras, Hopf algebras, and represen tations of these objects to the extent needed for the book is given. The material here not specifically cited can be found for the most part in [Sweedler, 1969] in one form or another, with a few exceptions. A great deal of emphasis is placed on the coalgebra which is the dual of n x n matrices over a field. This is the most basic example of a coalgebra for our purposes and is at the heart of most algebraic constructions described in this book. We have found pointed bialgebras useful in connection with solving the quantum Yang-Baxter equation. For this reason we develop their theory in some detail. The class of examples described in Chapter 6 in connection with the quantum double consists of pointed Hopf algebras. We note the quantized enveloping algebras described Hopf algebras. Thus for many reasons pointed bialgebras are elsewhere are pointed of fundamental interest in the study of the quantum Yang-Baxter equation and objects quantum groups.
