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Groups and Manifolds - Lectures for Physicists with Examples in Mathematica (Paperback)
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Groups and Manifolds - Lectures for Physicists with Examples in Mathematica (Paperback)
Series: De Gruyter Textbook
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Groups and Manifolds is an introductory, yet a complete
self-contained course on mathematics of symmetry: group theory and
differential geometry of symmetric spaces, with a variety of
examples for physicists, touching briefly also on super-symmetric
field theories. The core of the course is focused on the
construction of simple Lie algebras, emphasizing the double
interpretation of the ADE classification as applied to finite
rotation groups and to simply laced simple Lie algebras. Unique
features of this book are the full-fledged treatment of the
exceptional Lie algebras and a rich collection of MATHEMATICA
Notebooks implementing various group theoretical constructions.
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