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Structure and Geometry of Lie Groups (Paperback, 2012 ed.)
Loot Price: R3,085
Discovery Miles 30 850
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Structure and Geometry of Lie Groups (Paperback, 2012 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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This 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 invariant geometric structures. The last section of the
book is dedicated to the structure theory of Lie groups.
Particularly, they focus on maximal compact subgroups, dense
subgroups, complex structures, and linearity. This text is
accessible to a broad range of mathematicians and graduate
students; it will be useful both as a graduate textbook and as a
research reference.
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