## Lie Groups For Pedestrians

**Author**: Harry J. Lipkin

**Editor:**Courier Corporation

**ISBN:**0486137880

**Size**: 17,86 MB

**Format:**PDF, ePub, Mobi

**Read:**250

This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.

## Lie Groups Lie Algebras And Some Of Their Applications

**Author**: Robert Gilmore

**Editor:**Courier Corporation

**ISBN:**0486131564

**Size**: 14,10 MB

**Format:**PDF, Mobi

**Read:**857

This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.

## Lie Groups Physics And Geometry

**Author**: Robert Gilmore

**Editor:**Cambridge University Press

**ISBN:**113946907X

**Size**: 11,42 MB

**Format:**PDF

**Read:**455

Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

## Lie Groups And Lie Algebras A Physicist S Perspective

**Author**: Adam M. Bincer

**Editor:**Oxford University Press

**ISBN:**0199662924

**Size**: 10,70 MB

**Format:**PDF, ePub, Docs

**Read:**278

This book is intended for graduate students in Physics, especially Elementary Particle Physics. It gives an introduction to group theory for physicists with a focus on Lie groups and Lie algebras.

## Lie Algebras In Particle Physics

**Author**: Howard Georgi

**Editor:**CRC Press

**ISBN:**0429967764

**Size**: 11,22 MB

**Format:**PDF, ePub, Docs

**Read:**192

Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

## Basic Lie Theory

**Author**: Hossein Abbaspour

**Editor:**World Scientific

**ISBN:**9812706984

**Size**: 13,47 MB

**Format:**PDF, Kindle

**Read:**936

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or in lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.

## Group Theory For Physicists

**Author**: Zhong-Qi Ma

**Editor:**World Scientific Publishing Company

**ISBN:**9813101482

**Size**: 11,94 MB

**Format:**PDF, Kindle

**Read:**661

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

## Semi Simple Lie Algebras And Their Representations

**Author**: Robert N. Cahn

**Editor:**Courier Corporation

**ISBN:**0486150313

**Size**: 19,57 MB

**Format:**PDF, ePub

**Read:**735

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. 1984 edition.

## Naive Lie Theory

**Author**: John Stillwell

**Editor:**Springer Science & Business Media

**ISBN:**9780387782157

**Size**: 19,90 MB

**Format:**PDF, ePub, Mobi

**Read:**472

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

## Lie Algebras And Applications

**Author**: Francesco Iachello

**Editor:**Springer

**ISBN:**3540362398

**Size**: 20,73 MB

**Format:**PDF

**Read:**213

This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.