The Classical Groups: Their Invariants and Representations


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The author discusses symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are important in understanding the group-theoretic structure of quantum mechanics.

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Mar 20, 2008

A classic..

This is a thorough book and every mathematician, especially interested in goemetry, has to have it. Most of the results due to the author and it leads to a new theory: invariant theory of classical groups. The requirement of backgrond for reading this book is linear algebra. One of the most important face of this book is to show how to do mathematics.

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