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Quantum Groups Primer, Paperback by Majid, Shahn, Like New Used, Free shippin...
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- Book Title
- Quantum Groups Primer
- ISBN
- 9780521010412
- Publication Name
- Quantum Groups Primer
- Item Length
- 9in
- Publisher
- Cambridge University Press
- Series
- London Mathematical Society Lecture Note Ser.
- Publication Year
- 2002
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.7in
- Item Width
- 6in
- Item Weight
- 9.3 Oz
- Number of Pages
- 180 Pages
關於產品
Product Information
Here is 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, the book is suitable as a primary text for graduate courses in quantum groups or supplementary reading for modern courses in advanced algebra. The material assumes knowledge of basic and linear algebra. Some familiarity with semisimple Lie algebras would also be helpful. The volume is a primer for mathematicians but it will also be useful for mathematical physicists.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521010411
ISBN-13
9780521010412
eBay Product ID (ePID)
2237392
Product Key Features
Publication Name
Quantum Groups Primer
Format
Trade Paperback
Language
English
Series
London Mathematical Society Lecture Note Ser.
Publication Year
2002
Type
Textbook
Number of Pages
180 Pages
Dimensions
Item Length
9in
Item Height
0.7in
Item Width
6in
Item Weight
9.3 Oz
Additional Product Features
Series Volume Number
Series Number 292
Lc Classification Number
Qc174.17.G7 M26 2002
Reviews
'Many intuitive comments and informal remarks, a well chosen set of main examples used systematically in the book and a clear and understandable style make the book very comfortable and useful for students as well as for mathematicians from other fields.' EMS Newsletter, 'This monograph is an excellent reference (and often a true 'eye-opener') for researchers working in quantum groups … S. Majid is well-known for his lively and very informative style of writing, and the reviewed book confirms this opinion. Thus the book is very well written, the proofs contain enough details to make them easily readable but still challenging enough to keep students interested … I can full-heartily recommend this work as a basis for a one-term postgraduate course or as an introductory text to all mathematicians who would like to learn quickly the main ideas, techniques and wide range of applications of quantum group theory.' Zentralblatt MATH, 'This monograph is an excellent reference (and often a true 'eye-opener') for researchers working in quantum groups ... S. Majid is well-known for his lively and very informative style of writing, and the reviewed book confirms this opinion. Thus the book is very well written, the proofs contain enough details to make them easily readable but still challenging enough to keep students interested ... I can full-heartily recommend this work as a basis for a one-term postgraduate course or as an introductory text to all mathematicians who would like to learn quickly the main ideas, techniques and wide range of applications of quantum group theory.' Zentralblatt MATH, '... would serve admirably - as the author suggests - as the basis for a taught graduate course ... this book is a clearly written painless read. I can recommend this text as an entry work for those wishing to acquaint themselves with the still popular topic of quantum groups.' A. I. Solomon, Contemporary Physics, '… would serve admirably - as the author suggests - as the basis for a taught graduate course … this book is a clearly written painless read. I can recommend this text as an entry work for those wishing to acquaint themselves with the still popular topic of quantum groups.' A. I. Solomon, Contemporary Physics, '... would serve admirably - as the author suggests - as the basis for a taught graduate course ... this book is a clearly written painless read. I can recommend this text as an entry work for those wishing to acquaint themselves with the still popular topic of quantum groups.'A. I. Solomon, Contemporary Physics
Table of Content
Preface; 1. Coalgebras, bialgebras and Hopf algebras. Uq(b+); 2. Dual pairing. SLq(2). Actions; 3. Coactions. Quantum plane A2q; 4. Automorphism quantum groups; 5. Quasitriangular structures; 6. Roots of Unity. uq(sl2); 7. q-Binomials; 8. quantum double. Dual-quasitriangular structures; 9. Braided categories; 10 (Co)module categories. Crossed modules; 11. q-Hecke algebras; 12. Rigid objects. Dual representations. Quantum dimension; 13. Knot invariants; 14. Hopf algebras in braided categories; 15. Braided differentiation; 16. Bosonisation. Inhomogeneous quantum groups; 17. Double bosonisation. Diagrammatic construction of uq(sl2); 18. The braided group Uq(n-). Construction of Uq(g); 19. q-Serre relations; 20. R-matrix methods; 21. Group algebra, Hopf algebra factorisations. Bicrossproducts; 22. Lie bialgebras. Lie splittings. Iwasawa decomposition; 23. Poisson geometry. Noncommutative bundles. q-Sphere; 24. Connections. q-Monopole. Nonuniversal differentials; Problems; Bibliography; Index.
Copyright Date
2002
Target Audience
Scholarly & Professional
Topic
Group Theory, Algebra / General
Lccn
2001-052864
Dewey Decimal
530.14/3
Dewey Edition
21
Illustrated
Yes
Genre
Mathematics
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