Group Theory In Physics Wuki Tung Pdf 11 [TOP] 👽

Group Theory In Physics Wuki Tung Pdf 11 [TOP] 👽





 
 
 
 
 
 
 

Group Theory In Physics Wuki Tung Pdf 11

This is a book about group theory and its applications to physics. Chapters 6 and 7 discuss supergroups and superalgebras and applications to particle physics. Chapters 8, 9, and 10 discuss representations of Lie supergroups, particles in superspace, and supersymmetry. Chapter 11 discusses the gluon spectrum and the superquarks.

A modern and useful introduction to the theory of Lie groups and Lie algebras with a rigorous treatment of representations and applications to several branches of theoretical physics. This book is designed for the student with an interest in theory who is willing to learn the general concepts. The lectures are very fluid, but specific enough to avoid technical complications.

In this book, a large portion of representation theory is spent on Lie groups and Lie algebra representation theory, Lie superalgebras, and their relevant applications to physics. See also the chapter on Lie groups and Lie algebra applications.

The standard texts on Lie groups are far too specialized for Physics at this level. The usual approach is to assume that you already know it. Few of the books are freely available. The Gaussian is nicely written (very few typos) and is fairly recent. It covers both structure and representations. For full Lie groups, Cahen is standard; but for ‘central extension’ of Lie algebras, i.e. for infinitesimal and representation theory, Lipkin is standard. Cahen also covers the infinite-dimensional theory. However, Lipkin is more fun for the social side, whereas Cahen is more fun for the pure mathematics. A general introduction to Lie groups is also given in Pleba

The book is light in title, with most of the derivations, asides, and examples condensed into short summaries (one short section per major topic or section) and to the point and accessible in style. At the same time, the basic definitions of mathematical terms and concepts, with almost no pedantry, is emphasized. In addition, the discussion of Lie groups are of interest to both professional mathematicians as well as physicists. Some of the strengths of the text are: 1. The discussion of Lie groups is very concise and to the point. 2. The discussion of representations is concise and to the point, although a proof of a basic theorem on representation is unnecessarily long (maybe about two pages) 3. The sections on applications to physics are concise and to the point. This serves to broaden the readers’ ideas, focusing on applications to physics rather than just basic definitions and notation. My main drawback is that it occasionally misses some important results, such as the essential properties of tensor products for Abelian and non-Abelian groups. Another concern is that it is a bit dated – not much on Lie groups and a lot on crystallography – but with that being said, the author has an established reputation and this book is valuable for the career-minded physicist for reference. (I wish there was a similar book for Lie groups that covers both structure and representation, although there is no doubt one exists, just not suitable for this topic.)
The book provides a systematic introduction to the representation theory of Lie groups, covering the main theory, properties, and applications. The book has 6 parts. It mainly focuses on the basic theory of Lie groups and Lie algebras. Part I covers Lie groups and Lie groups superalgebras. Part II is on Lie algebras. Part III is on Lie groups and Lie group actions on manifolds. Part IV is on Lie groups, Lie algebras, and representations. Part V covers applications. Part VI covers Lie groups and Lie group representations in relation to Physics and Mathematics. The book is very detailed with many exercises. This book emphasizes on the structures and applications of Lie groups and Lie algebras, and thus it is ideal for college and high-school students taking advanced courses in mathematics (such as functional analysis and abstract algebra).
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