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Groups and Representations (Graduate Texts in Mathematics), by J.L. Alperin, Rowen B. Bell
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A concise treatment of topics from group theory and representation theory for use in a one-term course. Focussing on the non-commutative side of the field, this advanced textbook emphasizes the general linear group as the most important group and example.
Readers are expected to be familiar with groups, rings, and fields, and to have 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 introduce the reader to additional topics.
- Sales Rank: #367753 in Books
- Published on: 2013-10-04
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .48" w x 6.10" l, .67 pounds
- Binding: Paperback
- 196 pages
Most helpful customer reviews
11 of 13 people found the following review helpful.
An excellent supplement or a wonderful continuation
By Adam Glesser
I used this book as a 2nd year grad student with a little more than a year of graduate algebra. It worked very well as tool to solidifying my knowledge of group theory. i think it would also work as a great book to read while taking a first year algebra course. The idea of the book is to teach theory grounded in examples. In particular, Alperin uses the matrix groups as the main example for the entire book. The writing is very user friendly and the proofs are adequate. It covers basic group theory concepts, local structure (p-groups, Sylow, solvability), Parabolic Subgroups of Gl(n,F) and at the end goes into modules and representation theory.
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