Groups and Symmetries From Finite Groups to Lie Groups

From the reviews:

“Groups and Symmetries is a short, concise book … that provides an introduction to the subject of Lie Groups, Lie Algebras, their representations, and their uses in theoretical particle physics. … Anyone interested in understanding the connection between quarks and representation theory is an expeditious fashion should read this book. … at the end of each chapter, Groups and Symmetries has a helpful reference section that provides readers with historical comments and additional references to the topics covered.” (Thomas R. Hagedorn, The Mathematical Association of America, April, 2010)

“This book by Kosmann-Schwarzbach (École Polytechnique, France) also starts with the basics but rapidly moves on to enrich group theory with notions from topology, analysis, and (multi) linear algebra. Surely one finds many monographs on Lie groups for students on the way to specializing. … Summing Up: Recommended. Upper-division undergraduates, graduate students, and professionals.” (D. V. Feldman, Choice, Vol. 47 (11), July, 2010)

“This book gives a gentle introduction to the theory of group representations and its applications in quantum mechanics. … This book is well written and is well suited for a course aimed at advanced undergraduates and early graduate students.” (Aloysius Helminck, Mathematical Reviews, Issue 2011 g)

“The author gives a very clear and comprehensible introduction to the representation theory of groups focussing in particular on Lie groups. … A series of nine problems and solutions completes this well thought-out and well organized book, which can be recommended already to advanced undergraduates.” (G. Kowol, Monatshefte für Mathematik, Vol. 164 (2), October, 2011)