Introduction to Quantum Groups

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof.

Introduction to Quantum Groups

Introduction to Quantum Groups

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.

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Introduction to Quantum Groups
Language: en
Pages: 352
Authors: George Lusztig
Categories: Mathematics
Type: BOOK - Published: 2010-10-27 - Publisher: Springer Science & Business Media

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
Introduction to Quantum Groups
Language: en
Pages: 343
Authors: Masud Chaichian, Andrei Pavlovich Demichev
Categories: Science
Type: BOOK - Published: 1996 - Publisher: World Scientific

In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins
Introduction to Quantum Groups and Crystal Bases
Language: en
Pages: 307
Authors: Jin Hong, Seok-Jin Kang
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

The notion of a ``quantum group'' was introduced by V.G. Dinfeld and M. Jimbo, independently, in their study of the quantum Yang-Baxter equation arising from 2-dimensional solvable lattice models. Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras. And over the
Lectures on Quantum Groups
Language: en
Pages: 266
Authors: Jens Carsten Jantzen
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

The material is very well motivated ... Of the various monographs available on quantum groups, this one ... seems the most suitable for most mathematicians new to the subject ... will also be appreciated by a lot of those with considerably more experience. --Bulletin of the London Mathematical Society Since
Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
Language: en
Pages: 300
Authors: L.A. Lambe, D.E. Radford
Categories: Mathematics
Type: BOOK - Published: 2013-11-22 - Publisher: Springer Science & Business Media

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

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