Groups and Representations
1995 • 194 pages

This book provides a concise treatment of some topics from group theory and representation theory, suitable for a one-term course. It focuses on the non-commutative side of the field, emphasizing the general linear group as the most important group and example. The book will enable graduate students from every mathematical field, as well as advanced undergraduates with an interest in algebra, to solidify their knowledge of group theory.

The reader should have a familiarity with groups, rings, and fields, along with a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to expose the reader to additional topics.

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Series

Featured Series

152 primary books

#162 in Graduate Texts in Mathematics

Graduate Texts in Mathematics is a 152-book series with 154 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and John C. Oxtoby.

#1
Introduction to Axiomatic Set Theory
#2
Measure and Category: A Survey of the Analogies between Topological and Measure Spaces
#4
A Course in Homological Algebra
#5
Category Theory
#7
A Course in Arithmetic
#9
Introduction to Lie Algebras and Representation Theory
#11
Functions of One Complex Variable
#13
Rings and Categories of Modules
#18
Measure theory
#19
A Hilbert Space Problem Book
#20
Fibre Bundles
#21
Linear Algebraic Groups

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