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1. Topological Groups by L. S. Pontrjagin  
Hardcover: 543
Pages
(19660101)
Asin: B000LZESH0 Canada  United Kingdom  Germany  France  Japan  
2. Topological Groups: An Introduction by Nelson G. Markley  
Hardcover: 367
Pages
(20100922)
list price: US$99.95  used & new: US$75.96 (price subject to change: see help) Asin: 0470624515 Canada  United Kingdom  Germany  France  Japan  
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3. Topology: An Introduction with Application to Topological Groups (Phoenix Edition) by George McCarty  
Hardcover: 288
Pages
(20060103)
list price: US$49.50  used & new: US$17.82 (price subject to change: see help) Asin: 0486450821 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description This stimulating introduction employs the language of point set topology to define and discuss topological groups. It examines settheoretic topology and its applications in function spaces as well as homotopy and the fundamental group. Wellchosen exercises and problems serve as reinforcements. 1967 edition. Includes 99 illustrations. Customer Reviews (3)
I just couldn't read this.
Excellent for SelfTeaching
An oldy but a goody May not work well for a onesemester course, as the topology and group theory are interwoven fairly substantially.One does not need to know group theory before reading the book, but one cannot easily escape it and still get at all the topology. ... Read more 
4. Topological Groups (Classics of Soviet Mathematics) by R. V. Gamkrelidze  
Hardcover: 544
Pages
(19870306)
list price: US$173.95  used & new: US$139.16 (price subject to change: see help) Asin: 2881241336 Canada  United Kingdom  Germany  France  Japan  
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5. Topological Methods in Group Theory (Graduate Texts in Mathematics) by Ross Geoghegan  
Hardcover: 473
Pages
(20071217)
list price: US$64.95  used & new: US$45.86 (price subject to change: see help) Asin: 0387746110 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Topological Methods in Group Theory is about the interplay between algebraic topology and the theory of infinite discrete groups. The author has kept three kinds of readers in mind: graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledge to the current research literature in geometric, combinatorial and homological group theory; group theorists who would like to know more about the topological side of their subject but who have been too long away from topology; and manifold topologists, both high and lowdimensional, since the book contains much basic material on proper homotopy and locally finite homology not easily found elsewhere. The book focuses on two main themes: 1. Topological Finiteness Properties of groups (generalizing the classical notions of "finitely generated" and "finitely presented"); 2. Asymptotic Aspects of Infinite Groups (generalizing the classical notion of "the number of ends of a group"). Illustrative examples treated in some detail include: BassSerre theory, Coxeter groups, Thompson groups, Whitehead's contractible 3manifold, Davis's exotic contractible manifolds in dimensions greater than three, the BestvinaBrady Theorem, and the BieriNeumannStrebel invariant. The book also includes a highly geometrical treatment of Poincaré duality (via cells and dual cells) to bring out the topological meaning of Poincaré duality groups. To keep the length reasonable and the focus clear, it is assumed that the reader knows or can easily learn the necessary algebra (which is clearly summarized) but wants to see the topology done in detail. Apart from the introductory material, most of the mathematics presented here has not appeared in book form before. 
6. Topological Transformation Groups by D. Montgomery  
Hardcover: 289
Pages
(197406)
list price: US$24.00  used & new: US$258.99 (price subject to change: see help) Asin: 0882751697 Canada  United Kingdom  Germany  France  Japan  
7. Lie Groups: Beyond an Introduction by Anthony W. Knapp  
Hardcover: 812
Pages
(20020821)
list price: US$79.95  used & new: US$55.94 (price subject to change: see help) Asin: 0817642595 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the CartanWeyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for selfstudy or for courses in the second year of graduate study and beyond. Customer Reviews (1)
Review of Knapp's "Lie groups: beyond an introduction." The long version, if you want more convincing or details: I have used several books recently in learning the structure and 
8. Combinatorial Group Theory: A Topological Approach (London Mathematical Society Student Texts) by Daniel E. Cohen  
Paperback: 324
Pages
(19890825)
list price: US$58.00  used & new: US$45.00 (price subject to change: see help) Asin: 0521349362 Canada  United Kingdom  Germany  France  Japan  
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9. YetterDrinfel'd Hopf Algebras over Groups of Prime Order (Lecture Notes in Mathematics) by Yorck Sommerhäuser  
Paperback: 164
Pages
(20020701)
list price: US$39.00  used & new: US$4.99 (price subject to change: see help) Asin: 3540437991 Canada  United Kingdom  Germany  France  Japan  
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10. Lie Groups (Graduate Texts in Mathematics) by Daniel Bump  
Paperback: 451
Pages
(20101102)
list price: US$74.95  used & new: US$62.70 (price subject to change: see help) Asin: 1441919376 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description This book proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and offers a carefully chosen range of material designed to give readers the bigger picture. It explores compact Lie groups through a number of proofs and culminates in a "topics" section that takes the FrobeniusSchur duality between the representation theory of the symmetric group and the unitary groups as unifying them. 
11. Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics) by Sigurdur Helgason  
Hardcover: 641
Pages
(20010612)
list price: US$76.00  used & new: US$51.30 (price subject to change: see help) Asin: 0821828487 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Helgason begins with a concise, selfcontained introduction to differential geometry. He then introduces Lie groups and Lie algebras, including important results on their structure. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the KillingCartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple Lie algebras over $\mathbf{R}$. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book. For this latest edition, Helgason has made corrections and added helpful notes and useful references. The sequels to the present book are published in the AMS's Mathematical Surveys and Monographs Series: Groups and Geometric Analysis, Volume 83, and Geometric Analysis on Symmetric Spaces, Volume 39. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis. Customer Reviews (3)
Superb Treatise and Indispensible Reference
Unsurpassed, but demanding
Semisimple( Simple)>Bad 
12. Representations of Compact Lie Groups (Graduate Texts in Mathematics) by T. Bröcker, T.tom Dieck  
Paperback: 313
Pages
(20101130)
list price: US$89.95  used & new: US$89.95 (price subject to change: see help) Asin: 364205725X Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description This introduction to the representation theory of compact Lie groups follows Herman Weyl’s original approach. It discusses all aspects of finitedimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts. Customer Reviews (1)
Best there is, for now. 
13. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction by Brian C. Hall  
Hardcover: 250
Pages
(20030807)
list price: US$64.95  used & new: US$36.82 (price subject to change: see help) Asin: 0387401229 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description The text is divided into two parts. The first covers Lie groupsand Lie algebras and the relationship between them, along withbasic representation theory. The second part covers the theory ofsemisimple Lie groups and Lie algebras, beginning with a detailedanalysis of the representations of SU(3). The author illustratesthe general theory with numerous images pertaining to Liealgebras of rank two and rank three, including images of rootsystems, lattices of dominant integral weights, and weightdiagrams. This book is sure to become a standard textbook forgraduate students in mathematics and physics with little or noprior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at theUniversity of Notre Dame. Customer Reviews (8)
Abominable formatting
Distracting focus on examples
Lie Groups on Kindle
Excellent introduction into the theory of Lie Groups
Horrible 
14. Representation of Lie Groups and Special Functions: Recent Advances (Mathematics and Its Applications) by N.Ja. Vilenkin, A.U. Klimyk  
Hardcover: 516
Pages
(19941130)
list price: US$175.00  used & new: US$131.05 (price subject to change: see help) Asin: 0792332105 Canada  United Kingdom  Germany  France  Japan  
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15. Analogue of the Group Algebra for Topological Semigroups (Research Notes in Mathematics Series) by H. Dzinotyiweyi  
Paperback: 208
Pages
(198404)
list price: US$20.00 Isbn: 0273086103 Canada  United Kingdom  Germany  France  Japan  
16. An Introduction to Topological Groups (London Mathematical Society Lecture Note Series) by P. J. Higgins  
Paperback: 120
Pages
(19750228)
list price: US$43.00  used & new: US$35.75 (price subject to change: see help) Asin: 0521205271 Canada  United Kingdom  Germany  France  Japan  
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17. Linear Algebraic Groups (Graduate Texts in Mathematics) by Armand Borel  
Hardcover: 308
Pages
(19910418)
list price: US$74.95  used & new: US$58.93 (price subject to change: see help) Asin: 0387973702 Canada  United Kingdom  Germany  France  Japan  
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18. Matrix Groups: An Introduction to Lie Group Theory by Andrew Baker  
Paperback: 343
Pages
(20011206)
list price: US$59.95  used & new: US$18.98 (price subject to change: see help) Asin: 1852334703 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (2)
Find a better introduction
worst binding quality I've ever seen 
19. Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics) by Frank W. Warner  
Paperback: 292
Pages
(20101102)
list price: US$74.95  used & new: US$60.14 (price subject to change: see help) Asin: 1441928200 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Customer Reviews (5)
Worthless
Great book, but not perfect or ideal for every purpose
Don'twaste your money
Good, as long as you have enough background
A good book if you have some background 
20. Discrete Subgroups of Semisimple Lie Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Gregori A. Margulis  
Paperback: 388
Pages
(20101130)
list price: US$239.00  used & new: US$189.54 (price subject to change: see help) Asin: 3642057217 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (2)
The Perfect Supplement to RJ ZIMMER!
The Perfect Supplement to RJ ZIMMER! 
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