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Group theory and Hopf algebras : lectures for physicists / A.P. Balachandran, S.G. Jo, G. Marmo

Author
Balachandran, A. P., 1938-
Published
Singapore ; Hackensack, NJ : World Scientific, [2010]
Copyright Date
©2010
Physical Description
1 online resource (xiv, 254 pages)
Additional Creators
Jo, S. G. and Marmo, Giuseppe
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Contents
General notions -- Finite groups -- Lie groups -- The Poincaré group -- Hopf algebras in physics.
Summary
This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras. It is suitable for a one-semester course in group theory or a two-semester course which also treats advanced topics. Starting from basic definitions, it goes on to treat both finite and Lie groups as well as Hopf algebras. Because of the diversity in the choice of topics, which does not place undue emphasis on finite or Lie groups, it should be useful to physicists working in many branches. A unique aspect of the book is its treatment of Hopf algebras in a form accessible to physicists. Hopf algebras are generalizations of groups and their concepts are acquiring importance in the treatment of conformal field theories, noncommutative spacetimes, topological quantum computation and other important domains of investigation. But there is a scarcity of treatments of Hopf algebras at a level and in a manner that physicists are comfortable with. This book addresses this need superbly. There are illustrative examples from physics scattered throughout the book and in its set of problems. It also has a good bibliography. These features should enhance its value to readers. The authors are senior physicists with considerable research and teaching experience in diverse aspects of fundamental physics. The book, being the outcome of their combined efforts, stands testament to their knowledge and pedagogical skills.
Subject(s)
ISBN
9789814322218 (electronic bk.)
9814322210 (electronic bk.)
9789814322201
9814322202
Bibliography Note
Includes bibliographical references and index.
View MARC record | catkey: 43261591