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replaced http://mathoverflow.net/ with https://mathoverflow.net/
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A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groupsLearning about Lie groups

A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups

A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups

I changed the link to a page that makes it clear there is a 2nd edition (and isn't predjudiced towards a certain bookseller)
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Peter McNamara
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A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction http://www.amazon.com/Lie-Groups-Algebras-Representations-Introduction/dp/0387401229Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups

A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction http://www.amazon.com/Lie-Groups-Algebras-Representations-Introduction/dp/0387401229 which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups

A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups

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Zurab Silagadze
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A good introduction is given in the book Brian C. Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction http://www.amazon.com/Lie-Groups-Algebras-Representations-Introduction/dp/0387401229 which is an extended version of http://arxiv.org/abs/math-ph/0005032 Some other books are mentioned in answers to this MO question: Learning about Lie groups