Daniel Bump

eBook, PDF

Lie Groups (eBook, PDF)

Beschreibung

This book is intended for a one year graduate course on Lie groups. Rather than providing a comprehensive treatment, the author emphasizes the beautiful representation theory of compact groups. However, this book also discusses important topics such as the Bruhat decomposition and the theory of symmetric spaces.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 41.15MB

Barrierefreiheit

• Text-to-Speech

Autor

Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998).

Produktdetails

• Verlag: Springer US
• Seitenzahl: 454
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9781475740943
• Artikelnr.: 43988013

Rezensionen

"This is the second edition of Bump's successful graduate textbook 'Lie Groups' that first appeared in 2004. ... this book is even more highly recommended than its first edition. It deserves a place on the shelves of every physicists, mathematicians and graduate or PhD students of physics or mathematics who are interested in Lie group theory." (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 82 (1-2), 2016)

"This is a graduate math level text. Concise with lots of proofs. The chapters are short enough to read in one sitting. ... I was asked to look for books on this topic. It was challenging to search for material with this title. This was the best book that I could find. I look forward to exploring this topic further." (Mary

Anne, Cats and Dogs with Data, maryannedata.com, April, 2014)

"The book begins with a detailed explanation of the basic facts. ... It contains a discussion of very nontrivial modern applications of Lie group theory in other areas of mathematics. ... The text is very interesting and is superior to other textbooks on Lie group theory." (Dmitri Artamonov, zbMATH, Vol. 1279, 2014)

"This second edition of a successful graduate textbook and reference is now divided in four parts. ... the book under review is the one every one of us must have on its desk or night table. ... this is a well-organized book with clear and well-established goals, taking the interested reader to the frontiers of today's research." (Felipe Zaldivar, MAA Reviews, December, 2013)