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Author Klimyk, Anatoli
Title Quantum Groups and Their Representations [electronic resource] / by Anatoli Klimyk, Konrad Schmüdgen
Imprint Berlin, Heidelberg : Springer Berlin Heidelberg, 1997
book jacket
Descript 1 online resource (XX, 552 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series Texts and Monographs in Physics, 1864-5879
Texts and monographs in physics
Note 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
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
Subject Physics
Group theory
Mathematical physics
Group theory. fast (OCoLC)fst00948521
Mathematical physics. fast (OCoLC)fst01012104
Physics. fast (OCoLC)fst01063025
Electronic books
Alt Author Schmudgen, Konrad
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