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Representations and invariants of the classical groups

Author: Roe Goodman; Nolan R Wallach
Publisher: Cambridge ; New York : Cambridge University Press, 1999.
Series: Encyclopedia of mathematics and its applications, v. 68.
Edition/Format:   Print book : English : 1st pbk. edView all editions and formats
Summary:

Presents an updated version of Weyl's invariant theory of the classical groups, together with many of the important recent developments.

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Document Type: Book
All Authors / Contributors: Roe Goodman; Nolan R Wallach
ISBN: 0521663482 9780521663489
OCLC Number: 42136229
Notes: Originally published: 1998.
Description: xvi, 685 pages : illustrations ; 24 cm.
Contents: 1. Classical groups as linear algebraic groups; 2. Basic structure of classical groups; 3. Algebras and representations; 4. Polynomials and tensor invariants; 5. Highest weight theory; 6. Spinors; 7. Cohomology and characters; 8. Branching laws; 9. Tensor representations of GL(V); 10. Tensor represenations of O(V) and Sp(V); 11. Algebraic groups and homogeneous spaces; 12. Representations on Aff(X); A. Algebraic geometry; B. Linear and multilinear algebra; C. Associative algebras and Lie algebras; D. Manifolds and Lie groups.
Series Title: Encyclopedia of mathematics and its applications, v. 68.
Responsibility: Roe Goodman, Nolan R. Wallach.

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'It is no prophecy to state that this book will become an important reference work, but it will also serve as an excellent textbook for various courses.' G. Kowol, Book Reviews 'This remarkable book Read more...

 
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