2 edition of **Semi-simple lie algebras and their representations** found in the catalog.

Semi-simple lie algebras and their representations

Robert N. Cahn

- 236 Want to read
- 0 Currently reading

Published
**1984**
by Benjamin/Cummings, 1984. in Menlo Park, Calif
.

Written in English

- Lie algebras,
- Representations of algebras,
- Particles (Nuclear physics)

**Edition Notes**

Includes index. Bibliography: p. 154-155.

Statement | Robert N. Cahn.. -- |

Series | Frontiers in physics -- no. 59 |

The Physical Object | |
---|---|

Pagination | xi, 158 p. : |

Number of Pages | 158 |

ID Numbers | |

Open Library | OL19533867M |

This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive "tour of revisiting" the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory Cited by: However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate Brand: Springer-Verlag New York.

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector. I have been trying to learn about the classification of semi-simple Lie algebras and their representations using the Cartan Weyl approach i.e. Cartan subalgebra, roots, weights I would like to find a book that includes proofs since most times I come across statements and formulas I .

The present volume is intended to meet the need of particle physicists for a book which is accessible to non-mathematicians. The focus is on the semi-simple Lie algebras, and especially on their representations since it is they, and not just the algebras themselves, which are of . However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need.

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Then in chapter 9, the author considers the 'exceptional' Lie algebras, which are the last of the simple Lie algebras (5 in all). Their Dynkin diagrams are also constructed explicitly.

The author returns to representation theory in chap wherein he introduces the concept of a 'weight'.Cited by: Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) - Kindle edition by Cahn, Robert N.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while Semi-simple lie algebras and their representations book Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics)/5(5).

Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition.

Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras/5(4).

for a book which is accessible to non-mathematicians. The focus is on the semi-simple Lie algebras, and especially on their representations since it is they, and not just the algebras themselves, which are of greatest interest to the physicist. If the gauge theory paradigm is eventually successful in describing.

The Dynkin diagrams of these Lie algebras are constructed. Then in chapter 9, the author considers the 'exceptional' Lie algebras, which are the last of the simple Lie algebras (5 in all). Their Dynkin diagrams are also constructed explicitly. The author returns to representation theory in chap wherein he introduces the concept of a 'weight'.4/5.

Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) This book is intended as a short concise overview of the theory of complex semisimple Lie algebras.

Inspite of its small volume, this text is far from being of easy lecture, since it assumes the knowledge of some basic facts concerning Lie algebras, as well as Cited by: The focus is on the semi-simple Lie algebras, and especially on their representations since it is they, and not just the algebras themselves, which are of greatest interest to the physicist.

If the gauge theory paradigm is eventually successful in describing the fundamental particles, then some representation will encompass all those particles. Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) Robert N. Cahn Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories.

I have placed a postscript copy of my book Semi-Simple Lie Algebras and their Representations, published originally by Benjamin-Cummings inon this site the publisher has returned the rights to the book to me, you are invited to take a copy for yourself.

The. Semi-Simple Lie Algebras Book available I have placed a postscript copy of my book Semi-Simple Lie Algebras and their Representations, published originally by Benjamin-Cummings inon this site.

Since the publisher has returned the rights to the book to me, you are invited to take a copy for yourself. Semi-simple Lie algebras and their representations Robert N. Cahn Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories.

Semi Simple Lie Algebras and Their Representations The present volume is intended to meet the need of particle physicists for a book which is accessible to non-mathematicians. The focus is on the semi-simple Lie algebras, and especially on their representations since it is they, and not just the algebras themselves, which are of greatest interest to the physicist.

The Paperback of the Semi-Simple Lie Algebras and Their Representations by Robert N. Cahn at Barnes & Noble. FREE Shipping on $35 or more. Due to COVID, orders may be : Robert N. Cahn. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras.

Additional topics include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. edition. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail.

This book is an attempt to fiii this need. the representations of semi-simple Lie algebras, which are Lie algebras with no Abelian sub-algebras (i.e. sub-algebras consisting of elements Xsuch that [X;Y] = 0 for all elements Y in the Lie algebra), with the motivation being that these semi- simple Lie algebras are the most common Lie algebras in areas of theoretical physics.

Buy Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) by Cahn, Robert N (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2). Semi-Simple Lie Algebras and Their Representations.

- Buy Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) book online at best prices in India on Read Semi-Simple Lie Algebras and Their Representations (Dover Books on Mathematics) book reviews & author details and more at Free delivery on qualified orders.5/5(2).

Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Subjects include simple roots and the Cartan matrix, the classical and exceptional Lie algebras, the Weyl group, and more.

edition. Additional Physical Format: Online version: Cahn, Robert N. Semi-simple lie algebras and their representations.

Menlo Park, Calif.: Benjamin/Cummings, Semi Simple Lie Algebras and Their Representations The present volume is intended to meet the need of particle physicists for a book which is accessible to non-mathematicians.It completes the previously published translations of Chapters 1 to 3 () and 4 to 6 () by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups.

Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems.