Are there any books with solved exercises for studying Lie Algebras on your own?

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I am studying Lie Algebras at home by my own, without access to any teacher.

Being autodidact, it would much help me to have a book with solved exercises of Lie Algebras or Lie Groups.

Does anyone know if is there any book that could help me solving problems, execises?

Thank you,

Luis
 
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I have used Karin Erdmann book, I really like it. Thank you very much. I still miss a book focused mainly on exercises.
 

Thread 'The colorful world of ##2\times 2## complex matrices'

The world of 2\times 2 complex matrices is very colorful. They form a Banach-algebra, they act on spinors, they contain the quaternions, SU(2), su(2), SL(2,\mathbb C), sl(2,\mathbb C). Furthermore, with the determinant as Euclidean or pseudo-Euclidean norm, isu(2) is a 3-dimensional Euclidean space, \mathbb RI\oplus isu(2) is a Minkowski space with signature (1,3), i\mathbb RI\oplus su(2) is a Minkowski space with signature (3,1), SU(2) is the double cover of SO(3), sl(2,\mathbb C) is the...
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