- Paperback: 192 pages
- Publisher: University of Chicago Press; New edition edition (1 Jan 1983)
- Language English
- ISBN-10: 0226005305
- ISBN-13: 978-0226005300
- Product Dimensions: 22.8 x 15.3 x 1.1 cm
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Amazon Bestsellers Rank:
1,104,308 in Books (See Top 100 in Books)
- #14 in Books > Science & Nature > Mathematics > Geometry & Topology > Analytic Topology
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Product Description
Product Description
"["Lectures in Lie Groups"] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."--Irving Kaplansky
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First Sentence
1.1 DEFINITIONS. Let V , W be finite dimensional vector spaces over the real numbers R. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Back Cover
1.1 DEFINITIONS. Let V , W be finite dimensional vector spaces over the real numbers R. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Back Cover
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3 reviews
10 of 10 people found the following review helpful
Elegant and accessible.
4 Jun 2001
Format:Paperback
This book dicusses Lie groups form a geometric point of view, that is, it covers the topics necessary to understand certain aspects of algebraic topology like characteristic classes. Thus you don't have to have a knowledge of Lie algebras to read this, which is good news for geometers. I highly recommend "Lectures on Lie Groups" to those who interested in the geometry of Lie groups.
2 of 2 people found the following review helpful
Review on "Lectures on Lie groups" by J.F. Adams
22 Oct 2009
Format:Paperback
This is an excellent short and straightforward introduction to the theory of Lie groups and their representations from a geometer's viewpoint. It covers the essential concepts to understand the structure of compact Lie groups (the exponential map, maximal tori, Stiefel diagrams) and their representations (linear algebra, real and quaternionic representations, roots and weights). The style of the book is of lecture notes-type hence the book rather should be considered as the first step to understand the basic concepts in their clearest an simplest form. The technical subtleties in the proofs then can be filled in later from other more detailed (however necessary much longer) books on Lie groups.
6 of 9 people found the following review helpful
Skip this one...
18 Sep 2004
Format:Paperback
I bought this book on a recommendation, but I wish I hadn't. I tried to use it for an advanced graduate course in Lie groups, but it was not suitable. The books is essentially a list of theorems, with little or no discussion and few examples. At points there seem to be typos in it, or at least lack of clarity.
It is alright as a reference book, but no one should have to use it to learn about Lie groups.
It is alright as a reference book, but no one should have to use it to learn about Lie groups.
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