Cart

Unlocking potential with the best learning and research solutions

Look Inside Quantum Groups

Quantum Groups
A Path to Current Algebra

Name: Quantum Groups
Price: 78.99 USD
Availability: LimitedAvailability
ISBN: 9780511267055

$78.99 USD

Part of Australian Mathematical Society Lecture Series

Author: Ross Street, Macquarie University, Sydney

Date Published: March 2007
availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
format: Adobe eBook Reader
isbn: 9780511267055

Find out more about Cambridge eBooks

Rate & review

$ 78.99 USD
Adobe eBook Reader

You will be taken to ebooks.com for this purchase

Buy eBook Add to wishlist

Other available formats:
Paperback

Looking for an inspection copy?

This title is not currently available on inspection

Description

Contents

Resources

Courses

About the Authors

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 techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.
- Essential for any graduate student or researcher whose research involves quantum groups
- Containing the latest algebraic concepts and techniques, this book updates the meaning of 'modern algebra'
- Includes over 60 worked examples and exercises
Read more
Customer reviews

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

Product details
- Date Published: March 2007
- format: Adobe eBook Reader
- isbn: 9780511267055
- contains: 26 b/w illus. 25 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
Introduction
1. Revision of basic structures
2. Duality between geometry and algebra
3. The quantum general linear group
4. Modules and tensor products
5. Cauchy modules
6. Algebras
7. Coalgebras and bialgebras
8. Dual coalgebras of algebras
9. Hopf algebras
10. Representations of quantum groups
11. Tensor categories
12. Internal homs and duals
13. Tensor functors and Yang-Baxter operators
14. A tortile Yang-Baxter operator for each finite-dimensional vector space
15. Monoids in tensor categories
16. Tannaka duality
17. Adjoining an antipode to a bialgebra
18. The quantum general linear group again
19. Solutions to exercises
References
Index.
Look Inside
Author
Ross Street, Macquarie University, Sydney
Ross Street is a Professor of Mathematics and Director of the Centre of Australian Category Theory at Macquarie University. He is also a Fellow of the Australian Academy of Science.