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Introduction to the Quantum Yang-Baxter Equation and Quantum Groups : An Algebraic Approach :  An Algebraic Approach - Larry A. Lambe

Introduction to the Quantum Yang-Baxter Equation and Quantum Groups : An Algebraic Approach

An Algebraic Approach

Hardcover Published: December 2009
ISBN: 9780792347217
Number Of Pages: 300

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The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book treats the equation in the context of algebraic systems and as a problem for computer algebra. An up-to-date account of the theoretical foundations of solving the equation is given. The book contains new material which is described in the preface. Audience: The book can be used by graduate students and specialists. Over 200 exercises guide the reader from basic principles to research areas.

Foreword
Preface
Acknowledgments
Introduction
Algebraic Preliminariesp. 1
The Quantum Yang-Baxter Equation (QYBE)p. 65
Categories of Quantum Yang-Baxter Modulesp. 87
More on the Bialgebra Associated to the QYBEp. 121
The Fundamental Example of a Quantum Groupp. 143
Quasitriangular Structures and the Doublep. 161
Coquasitriangular Structuresp. 197
Some Classes of Solutionsp. 219
Categorical Constructionsp. 249
Prerequisitesp. 261
Referencesp. 281
Indexp. 291
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792347217
ISBN-10: 0792347218
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 300
Published: December 2009
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 2.54
Weight (kg): 0.66