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Quantum Groups and Their Representations
Anatoli Klimyk
Konrad Schmüdgen
出版
Springer Science & Business Media
, 2012-12-06
主題
Science / Physics / Mathematical & Computational
Mathematics / Algebra / Abstract
Science / Physics / General
Mathematics / Group Theory
ISBN
3642608965
9783642608964
URL
http://books.google.com.hk/books?id=YaLwCAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.