Structure and Geometry of Lie Groups Rutilius Taurus Aemilianus deutschen Unternehmen

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Structure and Geometry of Lie Groups Rutilius Taurus Aemilianus deutschen UnternehmenThis self contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and