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Quantum Groups and Their Representations [electronic resource] by Klimyk, Anatoli, Schmudgen, Konrad is a book available to read on EtoBox.

What is Quantum Groups and Their Representations [electronic resource] about?

This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. 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.Content: Front Matter....Pages I-XIXFront Matter....Pages 1-1Hopf Algebras....Pages 3-36 q-Calculus....Pages 37-52The Quantum Algebra U q (sl2)and Its Representations....Pages 53-96The Quantum Group SL q (2) and Its Representations....Pages 97-132The q-Oscillator Algebras and Their Representations....Pages 133-154Front Matter....Pages 155-155Drinfeld-Jimbo Algebras.

Author

Klimyk, Anatoli, Schmudgen, Konrad

Publisher

Berlin, Heidelberg : Springer Berlin Heidelberg

Published

1997

Language

EN