Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. Based on a lecture course given to fourth-year undergraduates, this book provides an elementary introduction to Lie algebras. It starts with basic concepts.
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Marek Capinski. Gareth A. Zdzislaw Brzezniak. Bryan P. John M. Micheal O. Martin D. Nicholas F. Nicholas Woodhouse. Jeremy Gray. Karin Erdmann. Roger A. David A. Home Contact us Help Free delivery worldwide.
Free delivery worldwide. Bestselling Series. Harry Potter. Popular Features. Home Learning. Categories: Algebra Mathematical Physics. Introduction to Lie Algebras. Description Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right.
This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. The only prerequisite is some linear algebra and an appendix summarizes the main facts that are needed. The treatment is kept as simple as possible with no attempt at full generality. Numerous worked examples and exercises are provided to test understanding, along with more demanding problems, several of which have solutions.
Introduction to Lie Algebras covers the core material required for almost all other work in Lie theory and provides a self-study guide suitable for undergraduate students in their final year and graduate students and researchers in mathematics and theoretical physics.
Product details Format Paperback pages Dimensions x x Other books in this series. Elementary Differential Geometry A. Add to basket. Measure, Integral and Probability Marek Capinski. Elementary Number Theory Gareth A. Special Relativity N. Basic Linear Algebra T.
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Introduction to Lie Algebras Karin Erdmann. Geometry Roger A. Groups, Rings and Fields David A. Back cover copy Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right. Based on a lecture course given to fourth-year undergraduates, this book provides an elementary introduction to Lie algebras. It starts with basic concepts. A section on low-dimensional Lie algebras provides readers with experience of some useful examples.
This is followed by a discussion of solvable Lie algebras and a strategy towards a classification of finite-dimensional complex Lie algebras. The next chapters cover Engel's theorem, Lie's theorem and Cartan's criteria and introduce some representation theory. The root-space decomposition of a semisimple Lie algebra is discussed, and the classical Lie algebras studied in detail.
The authors also classify root systems, and give an outline of Serre's construction of complex semisimple Lie algebras.
An overview of further directions then concludes the book and shows the high degree to which Lie algebras influence present-day mathematics. Table of contents Ideals and Homomorphisms.
Review Text From the reviews: "The book under review gives a very basic algebraic introduction to Lie algebras. Easily readable and without attempt at full generality, the text presents lots of examples and exercises on the different topics on Lie algebras which are treated.
The book also includes an appendix with answers to selected exercises. It also provides some nice examples to relate to. I especially recommend this book for self-study. In summary, I think this text may be the best pedagogical advance in the teaching of Lie algebras in the last few decades, and may in fact be the only textbook This book aims to break this barrier and gives an introduction to Lie algebras suitable for advanced undergraduate students.
Overall this book is a very well thought out and well-written introduction to Lie algebras and it provides an excellent entry point into Lie theory for advanced undergraduates and early graduate students interested in learning about the subject.
Review quote From the reviews: "The book under review gives a very basic algebraic introduction to Lie algebras. About Karin Erdmann Karin Erdmann is a well-known and respected algebraist at the international level, with extensive experience in writing and teaching.
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Introduction to Lie Algebras
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Mark Wildon's Website: Introduction to Lie algebras
Introduction to Lie Algebras , by Karin Erdmann and me, was published in It is based on 4th year courses given by the authors in Oxford. As such, it is particularly aimed at 3rd and 4th year undergraduates, but we hope it will be useful to anyone who wants a gentle introduction to the subject. The approach is very elementary.