Quantum Groups and Their Representations

Anatoli Klimyk, Konrad Schmüdgen (Autoren)

Buch | Hardcover

XX, 552 Seiten

1997 | 1., Ed.
Springer Berlin (Verlag)
978-3-540-63452-2 (ISBN)

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This book provides a treatment of the theory of quantum groups (quantized universal enveloping algebras and quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The theory of the simplest and most important quantum groups and their representations is presented in detail. A number of topics and results from the more advanced general theory are developed and discussed. Many applications in mathematical and theoretical physics are indicated. The book starts as an introduction for the beginner and continues at a textbook level for graduate students in physics and in mathematics. It may serve as a reference for more advanced readers.

I. An Introduction to Quantum Groups: Hopf Algebras
-q-Calculus
- The Quantum Algebra Uq(sl2) and Its Representations
- The Quantum Grouö SLq(2) and Its Representations
- The q-Oscillator Algebras and Their Representations.

II. Quantized Universal Enveloping Algebras: Drinfeld--Jimbo Algebras
- Finite-Dimentional Representations of Dinfeld--Jimbo Algebras
- Quasitriangularity and Universal R-Mattrices.III. Quantized Algebras of Functions
- Coordinate Algebras of Quantum Groups and Quantum Vector Spaces
- Coquasitriangularity and Crossed Product Constructions
- etc.

Reihe/Serie	Texts and Monographs in Physics
Sprache	englisch
Maße	155 x 235 mm
Gewicht	956 g
Einbandart	gebunden
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Schlagworte	HC/Physik, Astronomie/Allgemeines, Lexika • HC/Physik, Astronomie/Theoretische Physik • Quantengruppe
ISBN-10	3-540-63452-5 / 3540634525
ISBN-13	978-3-540-63452-2 / 9783540634522
Zustand	Neuware