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Author:   Anatoli Klimyk ,  Konrad Schmüdgen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1997
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.861kg
ISBN:  

9783642646010

ISBN 10:   3642646018
Pages:   552
Publication Date:   14 December 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I. An Introduction to Quantum Groups.- 1. Hopf Algebras.- 2. q-Calculus.- 3. The Quantum Algebra Uq(sl2) and Its Representations.- 4. The Quantum Group SLq(2) and Its Representations.- 5. The q-Oscillator Algebras and Their Representations.- II. Quantized Universal Enveloping Algebras.- 6. Drinfeld—Jimbo Algebras.- 7. Finite-Dimensional Representations of Drinfeld-Jimbo Algebras.- 8. Quasitriangularity and Universal R-Matrices.- III. Quantized Algebras of Functions.- 9. Coordinate Algebras of Quantum Groups and Quantum Vector Spaces.- 10. Coquasitriangularity and Crossed Product Constructions.- 11. Corepresentation Theory and Compact Quantum Groups.- IV. Noncommutative Differential Calculus.- 12. Covariant Differential Calculus on Quantum Spaces.- 13. Hopf Bimodules and Exterior Algebras.- 14. Covariant Differential Calculus on Quantum Groups.

Reviews

From the reviews Klimyk and Schmudgen are kind to their readers. Proofs are given in full, and there are helpful explanations of the basic concepts ... the book has the virtue of comprehensivness in its chose range of topics. It is easy to dip into and use as a reference book. (A. Sudbery, Bulletin of the London Mathematical Society, 2000)

From the reviews Klimyk and Schmudgen are kind to their readers. Proofs are given in full, and there are helpful explanations of the basic concepts ... the book has the virtue of comprehensivness in its chose range of topics. It is easy to dip into and use as a reference book. (A. Sudbery, Bulletin of the London Mathematical Society, 2000)

From the reviews Klimyk and Schm dgen are kind to their readers. Proofs are given in full, and there are helpful explanations of the basic concepts ... the book has the virtue of comprehensivness in its chose range of topics. It is easy to dip into and use as a reference book. (A. Sudbery, Bulletin of the London Mathematical Society, 2000)

From the reviews Klimyk and Schmudgen are kind to their readers. Proofs are given in full, and there are helpful explanations of the basic concepts ... the book has the virtue of comprehensivness in its chose range of topics. It is easy to dip into and use as a reference book. (A. Sudbery, Bulletin of the London Mathematical Society, 2000)

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