Last edited by Gujas
Wednesday, May 6, 2020 | History

7 edition of Introduction to quantum groups found in the catalog.

Introduction to quantum groups

by George Lusztig

  • 295 Want to read
  • 20 Currently reading

Published by Birkhäuser in Boston .
Written in English

    Subjects:
  • Quantum groups.,
  • Mathematical physics.

  • Edition Notes

    Includes bibliographical references and indexes.

    StatementGeorge Lusztig.
    SeriesProgress in mathematics ;, v. 110, Progress in mathematics (Boston, Mass.) ;, v. 110.
    Classifications
    LC ClassificationsQC20.7.G76 L88 1993
    The Physical Object
    Paginationxii, 340 p. :
    Number of Pages340
    ID Numbers
    Open LibraryOL1400059M
    ISBN 100817637125, 3764337125
    LC Control Number93007800

    The final chapters of the book describe the Kashiwara–Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebras. The choice of the topics and the style of exposition make Jantzen's book an excellent textbook for a one-semester course on quantum groups.   This is a short, self-contained expository survey, focused on algebraic and analytic aspects of quantum groups. Topics covered include the definition of ``quantum group,'' the Yang-Baxter equation, quantized universal enveloping algebras, representations of braid groups, the KZ equations and the Kohno-Drinfeld theorem, and finally compact quantum groups and the Author: William Gordon Ritter.

    This book provides a self-contained introduction to quantum groups as algebraic objects. Based on the author's lecture notes from a Part III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as a supplement to modern courses in advanced by: This book was set in Syntax and Times Roman by Westchester Book Group. Printed and bound in the United States of America. Library of Congress Cataloging-in-Publication Data Rieffel, Eleanor, – Quantum computing: a gentle introduction / Eleanor Rieffel and Wolfgang Polak. p. cm.—(Scientific and engineering computation)File Size: 6MB.

    The Paperback of the Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach by L.A. Lambe, D.E. Radford | at Barnes Due to COVID, orders may be delayed. Thank you for your patience. This thesis is meant to be an introduction to the theory of quantum groups, a new and exciting eld having deep relevance to both pure and applied mathematics. Throughout the thesis, basic theory of requisite background material is developed within an overar-ching categorical framework. This background material includes vector spaces, algebras.


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Introduction to quantum groups by George Lusztig Download PDF EPUB FB2

Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a textbook.

Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students.

Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a : George Lusztig. This book provides an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and on Drinfeld's recent fundamental contributions.

The first part presents in detail the quantum groups attached to SL[subscript 2] as well as the basic concepts of the theory of Hopf algebras.

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 with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related Author: M Chaichian.

Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students.

Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a : Birkhäuser Basel. According to Drinfeld, a quantum group is the same as a Hopf algebra. This includes as special cases, the algebra of regular functions on an algebraic group and the enveloping algebra of a semisimple Lie algebra.

The qu- tum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations. 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 with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related. Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University [email protected] Size: 2MB. This book discusses quantized enveloping algebras (or variations thereof) introduced by Drinfeld and Jimbo.

Coverage includes the case of quantum affine enveloping algebras and, more generally, the Read more. Quantum Theory, Groups and Representations book.

Read 3 reviews from the world's largest community for readers. Groups and Representations: An Introduction” as Want to Read: who in published a book on group theory and quantum mechanics. Weyl's book is famous in physics circles, partly because it ended /5(3).

Chapter 1. Introduction and physical motivations 3 There is a second approach to quantum groups. If Gis a connected, simply connected Lie group, G can be reconstructed from the universal enveloping algebra U(g) of the.

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field Brand: Springer International Publishing.

Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras/5.

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof.” With these sentences George Lusztig lays out the large scale structure of the discussion that follows in the pages of his Introduction to Quantum Groups.

Introduction to Quantum Groups will be of interest to mathematicians working in the representation theory of Lie groups and Lie algebras, knot theorists, theoretical physicists, and graduate students. Since large parts of the book are independent of the theory of perverse sheaves, the work may also be used as a : George Lusztig.

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant. Book by Hong and Kang is the first expository text which gives a detailed account on the relationship between crystal bases and combinatorics.

This book provides an accessible and “crystal clear” introduction and overview of the relatively new subject of quantum groups and crystal bases. Intuitive meaning. The discovery of quantum groups was quite unexpected since it was known for a long time that compact groups and semisimple Lie algebras are "rigid" objects, in other words, they cannot be "deformed".

One of the ideas behind quantum groups is that if we consider a structure that is in a sense equivalent but larger, namely a group algebra or a universal. This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.

The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory.

Quantum Theory, Groups and Representations: An Introduction Peter Woit Published November by Springer. The Springer webpage for the book is SpringerLink page is here (if your institution is a Springer subscriber, this should give you electronic access to the book, as well as the possibility to buy a $ softcover version).

This book provides an elementary introduction to the theory of quantum groups and crystal bases. We start with the basic theory of quantum groups and their representations, and then give a.This book is devoted to the consistent and systematic application of group theory to quantum mechanics.

Beginning with a detailed introduction to the classical theory of groups, Dr. Weyl continues with an account of the fundamental results of quantum physics.This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems.