Quantum Groups: With 88 Illustrations

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Springer-Verlag, 1995 - Mathematics - 531 pages
1 Review
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. Part Two focuses on Hopf algebras that produce solutions of the Yang-Baxter equation, and on Drinfeld's quantum double construction. In the following part we construct isotopy invariants of knots and links in the three-dimensional Euclidean space, using the language of tensor categories. The last part is an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations, culminating in the construction of Kontsevich's universal knot invariant.

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User Review  - jwberryhill - Goodreads

As a student of the subject I found large swaths of this book incomprehensible and/or riddled with errors. This was very frustrating for me as the scope of the book was very compelling, and yet in many crucial places I was unable to parse it. Definitely not recommended for novices. Read full review

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Quantum group - Wikipedia, the free encyclopedia
In mathematics and theoretical physics, quantum groups are certain noncommutative ... There is no single, all-encompassing definition of quantum groups. ...
en.wikipedia.org/ wiki/ Quantum_group

Model Theory and Quantum Groups
and Quantum Groups. Sonia L’Innocente. Department of Mathematics ... Quantum groups. Model Theory of. modules. Our strategy. References ...
w3.umh.ac.be/ math/ logic/ sources/ sonia_3.pdf

Model Theory, Lie Algebras and Quantum groups
[3] C. Kassel, Quantum Groups, Grad. Texts in Math. 155, Springer-. Verlag, 1995. [4] S. L’Innocente, A. Macintyre, Towards decidability of the theory of ...
cage.rug.ac.be/ ~kulrug/ abstracts/ abstract_innocente.pdf

Kassel. Квантовые группы (Springer, 1995), Kassel. Quantum groups ...
Kassel. Квантовые группы (Springer, 1995). Kassel. Quantum groups (Springer, 1995)(T)(539s).djvu. Size 4.7Mb Date Sep 17, 2004 ...
www.eknigu.com/ info/ M_Mathematics/ MA_Algebra/ MAq_Quantum%20groups/ Kassel.%20Quantum%20groups%20(Springer,%201995)(T)...

JSTOR: Compact Quantum Groups Associated with Monoidal Functors
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 126, Number 4, April 1998, Pages 1081-1088 S 0002-9939(98)04094-5 COMPACT QUANTUM GROUPS ASSOCIATED ...
links.jstor.org/ sici?sici=0002-9939(199804)126%3A4%3C1081%3ACQGAWM%3E2.0.CO%3B2-2

Quantum groups and quantum shu‚es
calculus on quantum groups. W. Nichols shows that, taking tensor products over r, Hopf bimodules. form a tensor category E. The structure of Hopf bimodules ...
www.springerlink.com/ index/ HEGFHPJ087G16MA6.pdf

Key examples of quantum groups are deformations of universel enveloping algebras of semisimple Lie algebras.They give rise to an abundance of admissable ...
www.mastermath.nl/ program/ 00005/ 00011/

theory for nite quantum groups is thoroughly developed and includes ... Compact quantum groups may be investigated via left regular co- ...
www.maths.tcd.ie/ pub/ ims/ bull43/ LARS1.ps

Quantum groups and cylinder braiding
theory of quantum groups. Thestructure is motivated by braid and knot theory. ... tations of quantum groups associated to classical Lie algebras have an ...
www.atypon-link.com/ WDG/ doi/ pdf/ 10.1515/ form.10.5.619

Quantum Groups
However, Quantum Groups: A Path to Current Algebra is written for the ..... called quantum groups. In Chapter 13, an algebraic concept of Yang– ...
assets.cambridge.org/ 97805216/ 95244/ frontmatter/ 9780521695244_frontmatter.pdf

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