Last edited by Yozshukree

Tuesday, August 24, 2021 | History

10 edition of **Quantum Groups** found in the catalog.

- 385 Want to read
- 37 Currently reading

Published
**January 29, 2007** by Cambridge University Press .

Written in English

- Mathematical foundations,
- Mathematics,
- Science/Mathematics,
- Algebra - Linear,
- Combinatorics,
- Mathematics / Combinatorics,
- Algebra - General

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

Format | Paperback |

Number of Pages | 260 |

ID Numbers | |

Open Library | OL7752332M |

ISBN 10 | 0521695244 |

ISBN 10 | 9780521695244 |

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 algebra.

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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 objects (algebras of functions on spaces, differential and Author: M Chaichian. Quantum Groups: A Path to Current Algebra presents algebraic concepts and techniques.

Book Description Algebra has moved well beyond the topics in standard texts Quantum Groups book 'modern algebra': algebraic structures such as groups, rings and by: Book description. Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'.

Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts. However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and by: The author investigates in detail the quantum group SLq(n), which is based on the classical Lie group.

References are given for quantum groups based on the other Lie groups, such as the orthogonal and symplectic groups. The Lie algebra Uq(sl(2)) is given a detailed 5(4). Book description. 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: Quantum Groups.

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 algebras5. 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, Quantum Groups book include Quantum Groups book versions of the semi-simple groups over fields of positive : George Lusztig.

A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems.

In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches:. Quantum Groups book 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. 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 characteristic.

Quantum Theory, Groups and Representations: An Introduction Revised and expanded version, under construction Peter Woit Department of Mathematics, Columbia University. Quantum groups by Christian Kassel,Springer-Verlag edition, in English If you own this book, you can mail it to our address below.

You can also purchase this book from a vendor and ship it to our address: Internet Archive Open Library Book Donations Funston Avenue San Francisco, CA Cited by: Book Title Quantum Groups Authors.

Christian Kassel; Series Title Graduate Texts in Mathematics Series Volume Copyright Publisher Springer-Verlag New York Copyright Holder Springer ScienceBusiness Media New York eBook ISBN DOI Hardcover ISBN Softcover ISBN Series ISSN Looking for an inspection copy.

This title is not currently available on inspection. About this Textbook. 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 : Springer International Publishing. A Guide to Quantum Groups.

Vyjayanthi Chari, Andrew Pressley, Chari. Cambridge University Press, - Mathematics - pages. 0 Reviews. 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 II: Quantum Groups. 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 Author: Christian Kassel. This book was released on 11 September with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Download or read Representations of General Linear Groups and Quantum Groups full HQ book in pdf, epub and kindle.

This book written by Ka Chun Tse and published by. Get book and read anywhere and anytime you want. This book provides a self-contained introduction to quantum groups as algebraic objects.

Based on the author's lecture notes for the Part III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as supplement to modern courses in advanced algebra. The book assumes a background knowledge of basic algebra and Bibliography: Quantum groups.

Kassel, Christian. Publication date. Topics. Hopf algebras, Mathematical physics, Quantum groups, Topology. Publisher. New York: Springer-Verlag. Lectures on Quantum Groups.

An introduction to the theory of quantum groups. The main topic is the quantized enveloping algebras introduced independently by Drinfeld and Jimbo. Jantzen considers the crystal (or canonical) bases discovered independently by Lusztig and Kashiwara and looks at the quantum analogue of the Lie algebra SL and then at 45(1).

Introduction. The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models.

This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results.

Among the main results are a detailed analysis of the. Systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry. see more benefits. Buy this book. eB28. price for Spain (gross) Buy eBook.

ISBN Digitally watermarked, : Springer International Publishing. 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 : George Lusztig.

Kassel's Quantum Groups is beautifully written, and includes all the necessary materials for a solid introduction to quantum groups. Perhaps one large advantage this book has over Jantzen's book (Lectures on Quantum Groups) is its treatment of Hopf algebras in the introductory sections, as well as the breadth of exercises at the end of each 55(1).

This book was released on 11 September with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Download or read IC Bases and Quantum Linear Groups full HQ book in pdf, epub and kindle. This book written by Jie Du and published by.

Get book and read anywhere and anytime you want. This book was released on 11 September with total page 16 pages. Available in PDF, EPUB and Kindle.

Book excerpt: Download or read Global IC Bases for Quantum Linear Groups full HQ book in pdf, epub and kindle. This book written by Jie Du and published by.

Get book and read anywhere and anytime you want. Online Product Code: MEMO89E. Title (HTML): Quantum Linear Groups. Author (s) (Product display): Jian Pan Wang; Brian J Parshall. Affiliation (s) (HTML): Book Series Name: Memoirs of the American Mathematical Society. Publication Month and Year: Lectures on Quantum Groups.

Since its origin about ten years ago, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics.

This book is one of the first expositions that is. Quantum Group Symmetry and Q tensor Algebras. Download or Read online Quantum Group Symmetry and Q tensor Algebras full in PDF, ePub and kindle. This book written by L. Biedenharn and published by World Scientific which was released on 12 September with total pages Quantum Theory, Groups and Representations book.

Read 3 reviews from the world's largest community for readers. PDF available for free download here. This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. The book is addressed to graduate students and non-experts from other fields.

Only basic knowledge of (multi-)linear algebra is required for the first part, while the second. This book was released on 11 September with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Download or read Polynomial Representations of the General Linear, Symplectic, and Quantum General Linear Groups full HQ book in pdf, epub and kindle.

This book written by Anna Stokke and published by. This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.

The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q. Integrable Systems Quantum Groups and Quantum Field Theories.

Download or Read online Integrable Systems Quantum Groups and Quantum Field Theories full in PDF, ePub and kindle. This book written by Alberto Ibort and published by Springer.

This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and.

Brain dump: Kassel is good. Jantzen (Lectures on Quantum Groups) is nicely written and clear, it's my favourite. Majid (Foundations of Quantum Group Theory) is an option, I haven't read it. Lusztig's book has a reputation of being tough to read. 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 enveloping algebra Estimated Reading Time: 9 mins. Chaichian, University of Helsinki. Format Hardcover. Publisher World Scientific Publishing Co Pte Ltd.

ISBN. x mm. 8vo. xxii, pp. 3 figs., bibliog., index. Printed wrappers; rubbed. Ink notations on rear cover. Very good. Weyl's book on applications of group theory to quantum mechanics was the first to appear on that subject.Quantum Groups: From Coalgebras To Drinfeld Algebras (Mathematical Physics Ser, Decoding Darkness: The Search For The Genetic Causes Of Alzheimer's Disease|Ann B.

Parson, Sense & Sensibility|Jane Austen, The Standards Board for England annual report and accounts House of Commons Papers |Standards Board for England/10().

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