### The Lie Algebras *su*(*N*), an Introduction

I liked your book. I did not find any errors. It was very useful for me and especially for one of my students.

B. S., Professor, NMT, USA, 4.10.2012

Your book have helped me to understand the basics of Lie Groups and Lie algebras used in particle physics. I have highly enjoyed
reading this book.

A.K. Student, IIT Guwahati, India, 9.8.2012

I used your book on the Lie Algebras of SU(n) as a reference on that subject for a paper that I was working on at the time (which is now completed: see http://prb.aps.org/abstract/PRB/v85/i7/e075430 or http://arxiv.org/abs/1112.2709). From the point of view of a physicist, I found that the book provided a detailed, clear and easy to follow introduction to the fundamental ideas of su(n) Lie algebras and their representation theory. The inclusion of many specific worked examples was particularly useful to further my understanding of the subject.

S. D. University of Oxford, UK 3.4.2012

Thank you - Yes excellent work. Wish I had these resources when I did my Masters.

I use it occasionally for teaching or when students ask me about Group Theory ( I am not a full time Tutor or a Lecturer).

M. I. P. Nuclear Physicist, UK, 5.7.2011

I had a work to do on the SU(3) group, and your book helped me a lot. There are a lot of figures and diagrams which can help to figure out the different algebras which are not always so easy to understand.

M. C., Uppsala university, Sweden, 3.4.2011

It's a good work, well-done.

A physicist will appreciate this book because it is written from the point of view of a physicist.

G. C. dept. of Physics, University of Pisa, Italy, 2.7.2010

...Your book did help me a lot, providing me with concise examples and detailed calculations. The numerical calculations allowed me a
direct view of su(2).

X. L. Schools of Mathematical Sciences, Peking University, 8.4.2010

…I think it is most useful as a "look up" text, almost as if it was a "solved problems" book.

J. R. G. M., Univ. São Paulo, Brazil, 1.4.2010

...it was by far the clearest exposition of these structures I have so far encountered...

K. MK., Centre for the History and Philosophy of Science, University of Leeds, 6.1.2010

1- IT IS A VERY GOOD WORK.

2- I AM USING LIE ALGEBRA IN THE CALCULATIONS OF INTERACTING BOSON MODEL.

3-I DID NOT FIND ANY ERRORS.

K. S. , Prof in physics, University Baghdad, Syria, 1.1.2010

I think there is not many books writing from the point of view of a physicist, as easy to read like your book. This is very important for every one who wants teach himself, like me ...

F. C., High School teacher, Spain, 3.4.2009

... Your work is very clear and very interesting for me.

M. researcher, Ciemat, Spain, 2.4.2009

Indeed I have used this copy mostly as means of quick reference in order to make sure things I use in my work are correct. To this end it has been really useful since when studying QCD one needs to understand the structure of Lie algebras.

L, M. Uni Bonn, Germany, 2.4.2009

... I find it to be exceptionally well organized and clear. This is obviously a labor of love ....

H.P., Professor of physics, emeritus, Trinity College, USA, 14.1.2009

... i particularly enjoyed reading the part about su(3) and the last part of the book. It helped me in getting a better understanding about how the picture of lie algebra's could fit into the theory of the elementary particles ...

W. UA, Belgium, 8.1.2009

your publication "The Lie Algebras > su(N), an Introduction" was very helpful in learning the subject ...

SK, USA, 2.10.2008

... found it very useful in helping me to understand Georgio.

A.K., George Mason University, USA, 1.10.2008

... I was delighted to see that you have explicitly discussed SU(2), SU(3), SU(4) but ...

F. N., Quaid-i-Azam-University, Pakistan, 3.7.2008

First thing that I must say is that I'm very grateful that you distributed this for free. It was very helpful. The main thing is that it is very clear even to people who don't have strong background in math/physics like me because it doesn't use sophisticated language ...

S. firmware engineer, Seagate, Singapore, 1.4.2008

I found the explainations very clear with the examples offering a clear insight into the subject. Overall it was an invaluable learning aid, ...

J.H., UCD, Ireland, 31.12.2007

Your article is used to give a well inside the topic. I am very thankfull to you for your books as i was needing Lie algebras books descriptively ...

B. R., Ph.D scholar, NIT Rourkela, India, 31.12.2007

... I found your book quite helpful. It explains things well. ... i have found whatever i have gone through quite comprehensive ...

G., research felllow, Guru Nanak Dev University, India, 3.10.2007

... I found an excellent work on the introduction of LIe Algebra. I did not find any errors and I am using on my PhD in Quantum Mechanics.

M. H., Research Scientist, Contak Consulting Group, Canada, 1.10.2007

... I received the texts, they really helped me to understand some things and are useful to me

J. K., Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering

Prague, Czech Republic, 29.9.2007

... I found it exceedingly well done and useful ... I would recommend your book to anyone who needs to get a quick grasp of Lie group essentials ...

H.L. H., Emeritus Professor of Astronomy, Univ of Rochester, USA, 16.7.2007

... It was really useful and it really helped me to pursue further in my research. It also provoked me to do some physics ...

S. K., Ramanujan Institute for Advanced Study in Mathematics, India, 1.7.2007

... I don't think that you went far enough at times.I think definitions in print of SU(5), SU(6) and SU(7)would be useful. ( A4,A5,A6 like Lie algebras).
But what you did do I appreciated. You effort to make this area more understandable is commendable.

R. B., technical director, Tftn production, USA, 30.6.2007

... Your text was concise and formal, which is the best part of the text, but also makes it little boring (had it more remarks related to practical and historical things it would be much better

A. D., Technical (O&M Radio / Optical) Dept., Spice Nepal Pte Ltd, 2.1.2007

... It is well set-out and easy to follow and many details are carefully included

d. b. , University of Toronto, Canada, 12.10.2006

... I just needed a few simple facts about SU(2) and SU(3) for an introductory course in particle physics. Your text was very helpful, ...

G. B., Technion, Israel, 2.10.2006

The notes on Lie algebras I gave to my graduate student… The notes themselves look better than what is available at that level on the market. They were recommended to me by my friend and colleague Prof. J. R., from the Department of Mathematics at the University of Toronto ...

Dr. H. d. G., Associate Professor, Department of Physics, Lakehead University, Thunder Bay, Canada, 1.10.2006

... Generally, I really appreciated the delightful detailedness of the text, quite contrary to all to many books and articles about Lie algebras and Lie groups…The detailed explanation of multiplets and their multiplicities was very enlightening ...

J. F., Århus, Denmark, 2.4.2006

... My opinion on your work is quite positive! It is extremely simply written though the level is quite advanced , especially concerning the basic definitions which for most books it is an Achilles'Heel…Your language is also excellent! Not technical or trying to sound to "mathematical. For the SU(3) discussions I found it still clearer than most other textbooks! ...

D. M., University of Leipzig, 2.1.2006

... It is very nice. It is hard to find introductory material on this subject ...

D. F., Graduate Student Representative, Northeastern University, Department of Physics, 513 Dana Research Center, 1.1.2006

... The text in your work is very well written and is fun to read. Your method of constructing the SU(N) irreps is very nice and avoids the complications
of the classical way. One think that is missing in your text is a more complete description of the different fundametal irreps of the SU(N) groups.
In the future i'm also planning to include parts of your work while teaching the lie algebra course for physics graduates ...

N. B., The Racah Institute for Physics, The Hebrew University, Jerusalem, Israel, 3.10.2005

The book helps me to get an idea about how to use this symmetry in some specific problem, so it was useful to me to learn the fundamentals ...

A. C., JHU Physics, Bloomberg Center, Baltimore, 1.10.2005

... The text was very well written and aimed at just the right level, and so was very useful to me ...

A. T., Imperial College, London, 6.10.2004