Last edited by Arashicage

Thursday, May 7, 2020 | History

3 edition of **Quantum groups** found in the catalog.

Quantum groups

Argonne Workshop (1990 Argonne National Laboratory)

- 82 Want to read
- 37 Currently reading

Published
**1991**
by World Scientific in Singapore, Teaneck, N.J
.

Written in English

- Quantum groups -- Congresses.,
- Quantum field theory -- Congresses.,
- Mathematical physics -- Congresses.

**Edition Notes**

Includes bibliographical references.

Statement | edited by Thomas Curtright, David Fairlie, Cosmas Zachos. |

Genre | Congresses. |

Contributions | Curtright, Thomas., Fairlie, David., Zachos, Cosmas. |

The Physical Object | |
---|---|

Pagination | viii, 335 p. : |

Number of Pages | 335 |

ID Numbers | |

Open Library | OL18935915M |

ISBN 10 | 9810203810 |

of the book is an overview of what the author calls quantum SL(2), which is an example of a Hopf algebra. Quantum Groups (Graduate Texts in Mathematics) Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in . Quantum groups: I have not found a concise reference for the quantum groups topics I want to cover, although there are many good books on the subject. I am using Chari and Pressley's book "A guide to quantum groups" as my main reference, so perhaps that is the best choice.

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 stichtingdoel.com by: This book gives 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. Researchers in mathematics and theoretical physics will enjoy this book.

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. “The book The Quantum Revelation by Paul Levy is indeed, as the subtitle states, a radical synthesis of science and spirituality. It provides insights in plain, yet profound language that the general reader will appreciate and understand.

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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 Cited by: Similarly, the quantum group U q (G) can be Quantum groups book as an algebra over the field Q(q), the field of all rational functions of an indeterminate q over Q (see below in the section on quantum groups at q = 0).

The center of quantum group can be described by quantum determinant. Representation theory. 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 /5. Quantum Groups. Authors: Kassel, Christian Free Preview. Quantum groups book this book eBook 58,84 Services for this Book.

Download Product Flyer Request eBook Instructor Sample. Facebook Twitter LinkedIn Google++. Recommended for you.

Bibliographic Information Bibliographic stichtingdoel.com: Springer-Verlag New York. Since they first arose in the s and early s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists.

This book gives 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 Cited by: I have studied graduate abstract algebra and would like to learn about Hopf algebras and quantum groups.

What book or books would you recommend. Are there other subjects that I should learn first before I begin studying Hopf algebras and quantum groups. hopf-algebras stichtingdoel.comm-algebra textbook-recommendation.

This book began as course notes prepared for a class taught at Columbia Uni-versity during the academic year. The intent was to cover the basics of quantum mechanics, up to and including relativistic quantum eld theory of free elds, from a point of view emphasizing the role of unitary representations.

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 Author: George Lusztig.

a guide to quantum groups Download a guide to quantum groups or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get a guide to quantum groups book now.

This site is like a library, Use search box in the widget to get ebook that you want. The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor 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.

Search within book. Front Matter. Pages i-xii. PDF. Quantum SL(2) Front Matter. Pages PDF. Preliminaries.

Christian Kassel. Pages Tensor Products. Christian Kassel. Quantum Groups and Monodromy. Front Matter. Pages PDF. Generalities on Quantum Enveloping Algebras. Christian Kassel.

Pages The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo inor variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of the semi-simple groups over fields of positive.

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.

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 SL2 as well as the basic concepts of the theory of Hopf algebras.

Welcome to Quantum group, the most trusted group. We are working in different spheres in the field of education, we are serving the nation and preparing the warriors of tomorrow.

We know that the 21st century is an era of knowledge. Ok, a couple of months have passed since I posted this question, and I have begun this project on quantum groups. I am now in the condition of answering a couple of the questions I posed. There are many different definitions of quantum groups, all of which are related somehow.

Cornwell's new book Quantum goes in a different direction, but has a similar vibe. The main character - Air Force Captain Calli Chase - is a talented scientist and NASA security expert who's trying to catch a possible saboteur/5. Nov 01, · 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.

Feb 01, · 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. Jan 10, · 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 analogue of Haar measure Author: William Gordon Ritter.

London Mathematical Society Lecture Note Series: A Quantum Groups Primer Series Number (Paperback) by Shahn Majid and a great selection of related books.

Introduction to Quantum Groups (matrix) quantum groups and the theory of their actions on compact quantum spaces. We also provide the most important examples, in-cluding the classiﬁcation of quantum SL(2)-groups, their real forms and quantum stichtingdoel.com by: This book, an abridgment of Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition.