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Lectures on Lie Groups and Lie Algebras (London Mathematical Society Student Texts)

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This book is an introduction to the subject of Lie groups and Lie algebras. This is a general overview on the subject for students with no background on the subject. There are almost no proofs and this is not a text book. Nevertheless for the mature reader (say someone toward the end of his graduate studies) this is an amazing general introduction. It is clear that a lot of effort was used in order to give the reader as much knowledge as possible with minimal technical details as possible. Intuitive arguments are used when ever possible and motivation is there all along the way. The writing is very elegant and it is clear that the writers are masters in their field. So, if you want an overview on the subject and you do not need to go into technical details look no further then this book.