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 This book is intended for a one year graduate course on Lie Groups and Lie algebras The book goes beyond the representation theory of compact Lie Groups which is the basis of many texts and provides a carefully chosen range of material to give the student the bigger picture The book is organized to allow different paths through the material depending on one s interests This second edition has substantial new material including improved discussions of underlying principles streamlining of some proofs and many results and topics that were not in the first editionFor compact Lie Groups the book covers the Peter Weyl theorem Lie algebra c.

groups book Lie Groups eBookA 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 This book is intended for a one year graduate course on Lie Groups and Lie algebras The book goes beyond the representation theory of compact Lie Groups which is the basis of many texts and provides a carefully chosen range of material to give the student the bigger picture The book is organized to allow different paths through the material depending on one s interests This second edition has substantial new material including improved discussions of underlying principles streamlining of some proofs and many results and topics that were not in the first editionFor compact Lie Groups the book covers the Peter Weyl theorem Lie algebra c.