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Dynamical Systems and Semisimple Groups - An Introduction (Hardcover, New)
Loot Price: R3,429
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Dynamical Systems and Semisimple Groups - An Introduction (Hardcover, New)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 19 working days
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Here is an introduction to dynamical systems and ergodic theory
with an emphasis on smooth actions of noncompact Lie groups. The
main goal is to serve as an entry into the current literature on
the ergodic theory of measure preserving actions of semisimple Lie
groups for students who have taken the standard first year graduate
courses in mathematics. The author develops in a detailed and
self-contained way the main results on Lie groups, Lie algebras,
and semisimple groups, including basic facts normally covered in
first courses on manifolds and Lie groups plus topics such as
integration of infinitesimal actions of Lie groups. He then derives
the basic structure theorems for the real semisimple Lie groups,
such as the Cartan and Iwasawa decompositions and gives an
extensive exposition of the general facts and concepts from
topological dynamics and ergodic theory, including detailed proofs
of the multiplicative ergodic theorem and Moore's ergodicity
theorem. This book should appeal to anyone interested in Lie
theory, differential geometry and dynamical systems.
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