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OverviewFull Product DetailsAuthor: Brian HallPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 2nd ed. 2015 Volume: 222 Weight: 7.874kg ISBN: 9783319374338ISBN 10: 3319374338 Pages: 449 Publication Date: 17 October 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPart I: General Theory.-Matrix Lie Groups.- The Matrix Exponential.- Lie Algebras.- Basic Representation Theory.- The Baker–Campbell–Hausdorff Formula and its Consequences.- Part II: Semisimple Lie Algebras.- The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems.- Representations of Semisimple Lie Algebras.- Further Properties of the Representations.- Part III: Compact lie Groups.- Compact Lie Groups and Maximal Tori.- The Compact Group Approach to Representation Theory.- Fundamental Groups of Compact Lie Groups.- Appendices.Reviews“The first edition of this book was very good; the second is even better, and more versatile. This text remains one of the most attractive sources available from which to learn elementary Lie group theory, and is highly recommended.” (Mark Hunacek, The Mathematical Gazette, Vol. 101 (551), July, 2017) From the reviews: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory . It is clearly written . A reader of this book will be rewarded with an excellent understanding of Lie groups . Hall s book appears to be genuinely unique in both the organization of the material and the care in which it is presented. This is an important addition to the textbook literature . It is highly recommended. (Mark Hunacek, The Mathematical Gazette, March, 2005) The book is written in a systematic and clear way, each chapter ends with a set of exercises. The book could be valuable for students of mathematics and physics as well as for teachers, for the preparation of courses. It is a nice addition to the existing literature. (EMS-European Mathematical Society Newsletter, September, 2004) This book differs from most of the texts on Lie Groups in one significant aspect. it develops the whole theory on matrix Lie groups. This approach will be appreciated by those who find differential geometry difficult to understand. each of the eight chapters plus appendix A contain a good collection of exercises. I believe that the book fills the gap between the numerous popular books on Lie groups is a valuable addition to the collection of any mathematician or physicist interested in the subject. (P.K. Smrz, The Australian Mathematical Society Gazette, Vol. 31 (2), 2004) This book addresses Lie groups, Lie algebras, and representation theory. the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all the most interesting examples. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. (L Enseignement Mathematique, Vol. 49 (3-4), 2003) Though there exist already several ex Author InformationBrian Hall is Professor of Mathematics at the University of Notre Dame, IN. Tab Content 6Author Website:Countries AvailableAll regions |