Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition by Christian Kassel (PDF)

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Ebook Info

  • Published: 1995
  • Number of pages: 546 pages
  • Format: PDF
  • File Size: 1.16 MB
  • Authors: Christian Kassel

Description

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 algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld’s elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.

User’s Reviews

Editorial Reviews: From the Back Cover 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.

Keywords

Free Download Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition in PDF format
Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition PDF Free Download
Download Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition 1995 PDF Free
Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition 1995 PDF Free Download
Download Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition PDF
Free Download Ebook Quantum Groups (Graduate Texts in Mathematics, 155) 1995th Edition

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