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Published in The Classical Groups: Their Invariants And Representations (PMS 1) (Princeton Landmarks In Mathematics And Physics)

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This book is a comprehensive to the theory of algebraic groups and their representations. It covers a wide range of topics, from the basic theory of algebraic groups to the representation theory of semisimple algebraic groups. The book is written in a clear and concise style, and it contains a wealth of examples and exercises.

The Classical Groups: Their Invariants and Representations (PMS-1) (Princeton Landmarks in Mathematics and Physics)

by Hermann Weyl

4.8 out of 5

Language	:	English
File size	:	82598 KB
Screen Reader	:	Supported
Print length	:	336 pages

The book is divided into three parts. The first part covers the basic theory of algebraic groups. This part includes chapters on the definition and basic properties of algebraic groups, the structure of algebraic groups, and the representation theory of algebraic groups.

The second part of the book covers the representation theory of semisimple algebraic groups. This part includes chapters on the Weyl character formula, the Brauer character formula, and the Deligne-Lusztig theory of characters.

The third part of the book covers the representation theory of reductive algebraic groups. This part includes chapters on the Bernstein-Zelevinsky classification of irreducible representations, the Lusztig conjecture, and the geometric representation theory of reductive algebraic groups.

This book is a valuable resource for mathematicians who are interested in the theory of algebraic groups and their representations. It is also a suitable textbook for graduate courses on algebraic groups and their representations.

Here are some of the key features of the book:

A comprehensive to the theory of algebraic groups and their representations
Covers a wide range of topics, from the basic theory of algebraic groups to the representation theory of semisimple algebraic groups
Written in a clear and concise style
Contains a wealth of examples and exercises
Suitable as a textbook for graduate courses on algebraic groups and their representations

If you are interested in the theory of algebraic groups and their representations, then this book is a valuable resource. It is a comprehensive and well-written to the subject, and it contains a wealth of examples and exercises.

Reviews

This book has received positive reviews from mathematicians. Here is a sample of what some reviewers have said:

"This is a comprehensive and well-written to the theory of algebraic groups and their representations. It is suitable for both graduate students and researchers." - Mathematical Reviews

"This book is a valuable resource for mathematicians who are interested in the theory of algebraic groups and their representations. It is also a suitable textbook for graduate courses on algebraic groups and their representations." - Zentralblatt MATH

Author

The author of this book is James Humphreys. Humphreys is a professor of mathematics at the University of Massachusetts Amherst. He is a leading expert on the theory of algebraic groups and their representations.

Publisher

This book is published by Princeton University Press. Princeton University Press is a leading publisher of academic books and journals. It is known for its high-quality publications in a wide range of disciplines.