Free PDF Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
Reading this Lie Groups, Lie Algebras, And Representations: An Elementary Introduction will certainly offer you precious time to check out. Even this is just a book, the idea provided is unbelievable. You could see exactly how this publication is served making the much better future. For you who in fact do not such as reading this book, never mind. But, allow us to inform you something intriguing from this book. If you wish to make better life, get this publication. When you wish to undergo a wonderful life for now and also future, read this book.
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
Free PDF Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
What do you think to conquer your trouble needed currently? Reading a publication? Yes, we agree with you. Publication is among the actual sources and also amusement resources that will certainly be always found. Numerous publication shops also supply as well as give the collections publications. However the stores that offer the books from other countries are rare. For this reason, we are below to assist you. We have guide soft documents web links not just from the country yet likewise from outdoors.
Among the sources to obtain in this on-line collection is the Lie Groups, Lie Algebras, And Representations: An Elementary Introduction This website with this book turns into one of the finding out centres to get the sources and materials. Great deals of books from numerous resources, publishers, and authors from around the world are supplied. This solution will offer not just the support publications, the references, literature, as well as standard books are readily available to discover.
This is not around just how much this e-book Lie Groups, Lie Algebras, And Representations: An Elementary Introduction expenses; it is not also for just what sort of e-book you actually like to check out. It has to do with what you could take and obtain from reviewing this Lie Groups, Lie Algebras, And Representations: An Elementary Introduction You could prefer to select other book; but, it does not matter if you try to make this publication Lie Groups, Lie Algebras, And Representations: An Elementary Introduction as your reading option. You will not regret it. This soft data e-book Lie Groups, Lie Algebras, And Representations: An Elementary Introduction can be your excellent close friend all the same.
Even the documents of guide remains in soft data, it does not mean that the material is different. It only separates in the form of the book offered. When you have the soft file of Lie Groups, Lie Algebras, And Representations: An Elementary Introduction, you could extremely easy saving this documents right into some certain gadgets. The computer, device, and laptop computers appropriate adequate to conserve guide. So, anywhere you are, you can be available to establish the time to check out.
Review
From the reviews:"This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory … . It is clearly written … . A reader of this book will be rewarded with an excellent understanding of Lie groups … . Hall’s book appears to be genuinely unique in both the organization of the material and the care in which it is presented. This is an important addition to the textbook literature … . It is highly recommended." (Mark Hunacek, The Mathematical Gazette, March, 2005)"The book is written in a systematic and clear way, each chapter ends with a set of exercises. The book could be valuable for students of mathematics and physics as well as for teachers, for the preparation of courses. It is a nice addition to the existing literature." (EMS-European Mathematical Society Newsletter, September, 2004)"This book differs from most of the texts on Lie Groups in one significant aspect. … it develops the whole theory on matrix Lie groups. This approach … will be appreciated by those who find differential geometry difficult to understand. … each of the eight chapters plus appendix A contain a good collection of exercises. … I believe that the book fills the gap between the numerous popular books on Lie groups … is a valuable addition to the collection of any mathematician or physicist interested in the subject." (P.K. Smrz, The Australian Mathematical Society Gazette, Vol. 31 (2), 2004)"This book addresses Lie groups, Lie algebras, and representation theory. … the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all the most interesting examples. … This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory." (L’Enseignement Mathematique, Vol. 49 (3-4), 2003)"Though there exist already several excellent text books providing the mathematical basis for all this, introductions aimed at graduate students both in mathematics and physics seem to be rare. So the guiding principle in the planning of the book by Brian Hall … was to minimize the amount of prerequisites. … students will benefit from the way the material is presented in this Introduction; for it is elementary and not intimidating, at the same time very systematic, rigorous and modern … ." (G. Roepstorff, Zentralblatt MATH, Vol. 1026, 2004)"This book is a great find for those who want to learn about Lie groups or Lie algebras and basics of their representation theory. It is a well-written text which introduces all the basic notions of the theory with many examples and several colored illustrations. The author … provides many informal explanations, several examples and counterexamples to definitions, discussions and warnings about different conventions, and so on. … It would also make a great read for mathematicians who want to learn about the subject." (Gizem Karaali, MAA Mathematical Sciences Digital Library, January, 2005)"Lie groups are already standard part of graduate mathematics, but their complex nature makes still a challenge to write a good introductory book to it. … This book is a must for graduate students in mathematics and/or physics." (Ãrpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 73, 2007)“The book under review therefore makes the wise choice of sticking to linear groups. … Hall’s book has two parts. In the first part, ‘General theory’, the author introduces matrix Lie groups … . A highlight of the second part is the discussion of 3 different constructions of irreducible representations of complex semisimple Lie algebras: algebraic (Verma modules), analytic (Weyl character formula), geometric (Borel-Weil construction using the complex structure on the flag manifold). … this book is a fine addition to the literature … .†(Alain Valette, Bulletin of the Belgian Mathematical Society, 2009)
Read more
About the Author
Brian C. Hall is an Associate Professor of Mathematics at the University of Notre Dame.
Read more
Product details
Hardcover: 354 pages
Publisher: Springer; 1st ed. 2003. Corr. 2nd printing 2004 edition (August 27, 2004)
Language: English
ISBN-10: 0387401229
ISBN-13: 978-0387401225
Product Dimensions:
6.1 x 0.9 x 9.2 inches
Shipping Weight: 1.4 pounds
Average Customer Review:
4.3 out of 5 stars
20 customer reviews
Amazon Best Sellers Rank:
#1,619,196 in Books (See Top 100 in Books)
Brian Hall has written the best book I know (and I have several) on this challenging topic. The concepts are easy, but the number of different kinds of things one needs to remember to master this topic, to apply it, and to do calculations with it is large. Hall takes the time to spell out the structure and relationships that make remembering the "zoo" much easier, at least for me. If you're inclined to remember things by their structure and relationships (as opposed to their mere taxonomy), then you will get a lot out of this book.
This book is very well introduction to this topic because have a minimal prerequisites. For example Part 1 using only Linear algebra. Furthermore, in Part 1 Hall explains matrix Lie groups with many examples and some geometrical-physical interpretations. I recommend this book for both mathematicians and physicists.
I used this text last year for a third year undergraduate course on Lie groups, Lie algebras and representations and it was excellent! I found the exposition to be super clear and easy to follow. Also, I really loved an entire chapter that focused on the representation theory of $\mathfrak{sl}_3(\Bbb{C})$! As I grow older, I discover more and more the importance of having a concrete grasp of examples - and Brian's book does it in exactly that way. Plus, it is not disorganized and does not handwave like Fulton and Harris (which has gaps in its proofs using Weight diagrams in the chapter on representations of $\mathfrak{sl}_3$) and is not dry and abstract like Humphreys' book!I would say that this is the best book out there to start learning Lie theory from.
Great book and service!
I love this book. I like to think I am a good mathematician, but I have always had a lot of trouble with differential geometry. I suspect there are a lot of people out there like me. This book presents Lie Groups using matrix groups, which makes things much more concrete. The book is not easy, and requires good linear algebra skills. However, many matrix algebra theorems are presented and proved in the appendices. The appendices also include the abstract definitions of Lie groups and algebras for general manifolds which are topological groups, with examples, and the author always explains how the theorems for matrix groups relate to those for general Lie groups, and in many cases little modification seems to be necessary.There are plenty of exercises at the end of each chapter that are of just the right difficulty to help you understand the material.I got the first edition, since the second edition seems to be available only in paperback and I prefer hardcover. There seem to be a lot of typos in the first edition that are easy to spot. I imagine they have been corrected in the second edition. I don't know what other changes were made.Some people who reviewed this book complained that it does not fully reveal the pristine beauty of general Lie groups. This may be true, but a book that I cannot read is not going to do me any good. Also, many people who use Lie Groups only really need matrix groups and this may be a good book for them.
[EDITED 2012: This review used to contain information about the (unreadable) Kindle edition of this book. I removed that information after the publisher, wisely, stopped offering the Kindle edition.]As a graduate student, I love this book. It requires surprisingly little familiarity with topology and algebra; I could have taken this course in my first year without being taxed by prerequisites. Its focus on specific examples, such as SU(2) and SO(3), match well with the situations in which I have previously encountered Lie groups outside of the course. The extensive discussion of examples also helps me to structure the big picture in my head, in that I feel more confident asserting why we take an interest in, for example, the connectedness of a Lie group. Hall's discussion of the behavior of, and topological properties of, the most commonly encountered Lie groups is superb. The writing clarifies which details I ought to work out on my own as I read (which is another reason I would have been able to take this course in my first year, when my skill at actively reading and engaging with upper-level textbooks was still budding).I don't know if this book is useful as a reference text for individuals who have a research interest in algebraic topology. I doubt it's extensive enough. However, as a learning text for physicists and mathematicians whose main research interest lies in analysis or PDE, this book has proven very satisfactory. Future authors of textbooks might also skim through it to discover an excellent example of how to connect with a competent student audience and guide them into an unfamiliar topic without obscuring its purpose.Also worth recommending here, specifically as a companion volume: the text Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics) by Stephanie Frank Singer. I think an excellent and interesting first-year graduate course in mathematical physics could be constructed from Hall's and Singer's books.
Great book!
good
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction PDF
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction EPub
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction Doc
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction iBooks
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction rtf
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction Mobipocket
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction Kindle
0 komentar:
Posting Komentar