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Lie Groups, Lie Algebras, and Some of Their Applications
 
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Lie Groups, Lie Algebras, and Some of Their Applications (Paperback)

by Robert Gilmore (Author)
4.6 out of 5 stars See all reviews (8 customer reviews)

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Editorial Reviews

Product Description
With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edtion. Includes 75 figures and 17 tables.

Product Details

  • Paperback: 608 pages
  • Publisher: Dover Publications; illustrated edition edition (January 4, 2006)
  • Language: English
  • ISBN-10: 0486445291
  • ISBN-13: 978-0486445298
  • Product Dimensions: 8.3 x 5.1 x 1.2 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.6 out of 5 stars See all reviews (8 customer reviews)
  • Amazon.com Sales Rank: #93,967 in Books (See Bestsellers in Books)

    Popular in these categories: (What's this?)

    #4 in  Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
    #8 in  Books > Science > Mathematics > Pure Mathematics > Group Theory
    #16 in  Books > Science > Mathematics > Pure Mathematics > Algebra > Linear


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Customer Reviews

8 Reviews
5 star:
 (7)
4 star:    (0)
3 star:    (0)
2 star:
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Average Customer Review
4.6 out of 5 stars (8 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

 
24 of 25 people found the following review helpful:
5.0 out of 5 stars This book becomes my reference on group theory in physics, December 29, 2006
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews
(REAL NAME)      
I've waited many years to find a book like this.
It may take me many years to master everything in it,
but at least with this book I have a chance to try.
I contrast this text to books and papers by Gell-Mann, Richard Feynman,
and Steven Weinberg and these great men come off second best
when it comes to exposition of the relationships between groups.
I have found what appear to be factor of two difference
between the examples and the tables for A(n)
but those once corrected seem to leave this the complete
reference on group theory for physics that I've been looking for for a long time.
I congratulate Robert Gilmore for his well written book.
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24 of 25 people found the following review helpful:
5.0 out of 5 stars Rave Review, November 9, 2006
By Michael Cloud "Mystical Logician" (Washington, DC United States) - See all my reviews
(REAL NAME)   
I haven't read this whole book cover to cover, because of time constraints. However, I can say that it is extremely clear in it's exposition. The material is very well chosen for use by physicists. I have read pure math books on this topic, and while they can be more sophisticated and thorough, they are rarely as straight forward, nor do they cover the breadth of material in this book.

In sum I would have to agree with what I was told: "this is the book on Lie Algebra for a physicist".
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36 of 40 people found the following review helpful:
5.0 out of 5 stars Excellent introduction to the field for physicists, January 22, 2000
By A.X. Razza (London, England) - See all my reviews
Perhaps the best feature of this book is that it aims to convey the theory of Lie algebras and Lie groups to physicists. In doing so, the author is careful to give a very simplistic approach so that one not familiar with the subject can understand it. Not to say that the book is elementary, since it builds rapidly into the far more interesting aspects of Lie Groups. A very good read.
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Most Recent Customer Reviews

5.0 out of 5 stars Lie groups, not just for particle physics
Having read, and loved, Lie Groups for Pedestrians, I picked up this book to further my knowledge of this wonderful subject. Read more
Published 7 months ago by J. A. Hansen

2.0 out of 5 stars Not fair on non-physicist mathematicians
Couldn't get into this, I gave up in the first chapter after failing to understand how he was applying his Kronecker product to his vectors. Read more
Published 14 months ago by Matt Westwood

5.0 out of 5 stars Lie groups, examples and exercises
An excellent overview of Lie Groups and Algebras. Gilmore, as he notes himself, has concentrated on producing a self contained course for physicists. Read more
Published 23 months ago by A. Van Dyk

5.0 out of 5 stars A classic
Gilmore's treatment of Lie groups and Lie algebras is written in the mathematical languague which theoretical physicists should be comfortable with. Read more
Published on October 27, 2006 by Cybertronian

5.0 out of 5 stars An excellent treatment of the subject written in "mathematics."
I find Professor Gilmore's book a top-flight exposition of a "not so easy" subject. As a mathematician, I am very comfortable with the degree of mathematical rigor. Read more
Published on July 5, 2006 by David A. Anderson

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