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Mathematical Reviews[T]he narrative of the book is written in a relaxed and witty style. The book is intriguing as well as entertaining.
— Jeb F. Willenbring
"In Group Theory, we get a sense of the quest Cvitanovi? has been on, which makes the book much more fun to read than the average mathematics text. This book is intriguing, novel, and important."--John Baez, University of California, Riverside
"There has been an urgent need for an in-print and readily available version of Cvitanovi?'s innovative and systematic approach to the group-theoretic calculations occurring in theoretical physics and beyond. Well-organized and well-written, this book is definitely an important and valuable contribution to its field."--Alan J. Macfarlane, Cambridge University
"More than just an innovative notation, this book offers a conceptually novel alternative path to a key mathematical result, the classification of finite-dimensional simple Lie algebras. . . . While this volume is an obvious resource for physics students, the traces of physics that remain in the work will elucidate for mathematics students how physics uses Lie groups as a tool."—D.V. Feldman, Choice
"I think that the book is a very interesting and thought provoking contribution to the literature on representations of compact Lie groups. It has many interesting original aspects that deserve to be known much better than they are."—Karl-Hermann Neeb, Journal of the Lie Theory
"[T]he narrative of the book is written in a relaxed and witty style. The book is intriguing as well as entertaining."—Jeb F. Willenbring, Mathematical Reviews