Quantum Groups and Their Representations

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Last edited by MARC Bot
September 28, 2024 | History

Quantum Groups and Their Representations

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.

Publish Date
Language
English
Pages
552

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Previews available in: English

Edition Availability
Cover of: Quantum Groups and Their Representations
Quantum Groups and Their Representations
2011, Springer London, Limited
in English
Cover of: Quantum Groups and Their Representations
Quantum Groups and Their Representations
1997, Springer Berlin Heidelberg
electronic resource / in English
Cover of: Quantum Groups and Their Representations
Quantum Groups and Their Representations
1997, Island Press
in English

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Book Details


Table of Contents

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.

Edition Notes

Published in
Berlin, Heidelberg
Series
Texts and Monographs in Physics, 1864-5879, Texts and monographs in physics

Classifications

Library of Congress
QC19.2-20.85, QC5.53

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (XX, 552 pages).
Number of pages
552

Edition Identifiers

Open Library
OL27084081M
Internet Archive
quantumgroupsthe00klim_394
ISBN 10
3642608965
ISBN 13
9783642608964
OCLC/WorldCat
840293036

Work Identifiers

Work ID
OL19898210W

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