Authors:
- Greater concentration on physical problems than any other comparable books
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (14 chapters)
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Front Matter
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An Introduction to Quantum Groups
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Front Matter
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Quantized Universal Enveloping Algebras
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Front Matter
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Quantized Algebras of Functions
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Front Matter
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Noncommutative Differential Calculus
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Front Matter
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Back Matter
About this book
The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.
Reviews
"Klimyk and Schmüdgen 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)
Authors and Affiliations
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Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kiev, Ukraine
Anatoli Klimyk
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Fakultät für Mathematik und Informatik, Universität Leipzig, Leipzig, Germany
Konrad Schmüdgen
Bibliographic Information
Book Title: Quantum Groups and Their Representations
Authors: Anatoli Klimyk, Konrad Schmüdgen
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-642-60896-4
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1997
Softcover ISBN: 978-3-642-64601-0Published: 14 December 2011
eBook ISBN: 978-3-642-60896-4Published: 06 December 2012
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XX, 552
Topics: Mathematical Methods in Physics, Group Theory and Generalizations
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