Springer, 2008, 218 p. In this new textbook, acclaimed author John
Stillwell presents a lucid introduction to Lie theory suitable for
junior and senior level undergraduates. In order to achieve this,
he focuses on the so-called "classical groups'' that capture the
symmetries of real, complex, and quateion spaces. These symmetry
groups may be represented by matrices, which allows them to be
studied by elementary methods from calculus and linear algebra.
This naive approach to Lie theory is originally due to von Neumann,
and it is now possible to streamline it by using standard results
of undergraduate mathematics. To compensate for the limitations of
the naive approach, end of chapter discussions introduce important
results beyond those proved in the book, as part of an informal
sketch of Lie theory and its history
Stillwell J. Naive Lie Theory
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- добавлен 31 января 2012 г.
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