By Joachim Hilgert,Karl-Hermann Neeb
This self-contained text is a wonderful introduction to Lie teams and their activities on manifolds. The authors commence with an elementary discussion of matrix teams, via chapters dedicated to the fundamental constitution and illustration conception of finite dimensinal Lie algebras. They then flip to international concerns, demonstrating the main factor of the interaction among differential geometry and Lie conception. designated emphasis is put on homogeneous areas and invariant geometric buildings. The final part of the booklet is devoted to the constitution conception of Lie teams. fairly, they specialise in maximal compact subgroups, dense subgroups, advanced buildings, and linearity.
This textual content is out there to a vast variety of mathematicians and graduate scholars; it is going to be precious either as a graduate textbook and as a examine reference.
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Structure and Geometry of Lie Groups (Springer Monographs in Mathematics) by Joachim Hilgert,Karl-Hermann Neeb