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An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Adva - GOOD

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Artikelzustand
Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
Brand
Unbranded
Book Title
An Introduction to Lie Groups and Lie Algebras (Cambridge Studie
MPN
Does not apply
ISBN
9780521889698

Über dieses Produkt

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521889693
ISBN-13
9780521889698
eBay Product ID (ePID)
65856904

Product Key Features

Number of Pages
236 Pages
Language
English
Publication Name
Introduction to Lie Groups and Lie Algebras
Publication Year
2008
Subject
Group Theory, Algebra / Abstract, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
Alexander Kirillov Jr.
Series
Cambridge Studies in Advanced Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.6 in
Item Weight
15.9 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2008-000267
TitleLeading
An
Dewey Edition
22
Reviews
'The book is a very concise and nice introduction to Lie groups and Lie algebras. It seems to be well suited for a course on the subject.' Mathematical Reviews, "The book is a very concise and nice introduction to Lie groups and Lie algebras. It seems to be well suited for a course on the subject. The exercises and examples will be useful in that case." Erik Koelink, Mathematical Reviews, '... the exposition is very clear and logical. It has the advantage of giving the basic facts about Lie algebra theory with enough arguments but skipping the tedious technical details of proofs. Another excellent feature of the book is that many of the basic notions, properties and results are illustrated by a great number of exercises and examples. In my opinion this book is a nice addition to the landmarks in the field ... I strongly recommend it to anyone wishing to enter into the beautiful and exciting field of Lie algebras and their applications.' Journal of Geometry and Symmetry in Physics, '… the exposition is very clear and logical. It has the advantage of giving the basic facts about Lie algebra theory with enough arguments but skipping the tedious technical details of proofs. Another excellent feature of the book is that many of the basic notions, properties and results are illustrated by a great number of exercises and examples. In my opinion this book is a nice addition to the landmarks in the field … I strongly recommend it to anyone wishing to enter into the beautiful and exciting field of Lie algebras and their applications.' Journal of Geometry and Symmetry in Physics, 'There are many exercises … The last appendix contains a useful detailed sample syllabus for a one-semester graduate course (two lectures a week).' EMS Newsletter, '... very readable ... I strongly recommend this book as a possible selection for graduate courses, as well as for independent study, or individual reading.' MAA Reviews, '… very readable … I strongly recommend this book as a possible selection for graduate courses, as well as for independent study, or individual reading.' MAA Reviews, 'There are many exercises ... The last appendix contains a useful detailed sample syllabus for a one-semester graduate course (two lectures a week).' EMS Newsletter, "I strongly recommend this book as a possible selection for graduate course(s), as well as independent study, or individual reading." Mihaela Poplicher, MAA Reviews
Series Volume Number
Series Number 113
Illustrated
Yes
Dewey Decimal
512.482
Table Of Content
Preface; 1. Introduction; 2. Lie groups: basic definitions; 3. Lie groups and Lie algebras; 4. Representations of Lie groups and Lie algebras; 5. Structure theory of Lie algebras; 6. Complex semisimple Lie algebras; 7. Root systems; 8. Representations of semisimple Lie Algebras; Overview of the literature; A. Root systems and simple Lie algebras; B. Sample syllabus; List of notation; Index; Bibliography.
Synopsis
This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras., This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style, this is a contemporary introduction to the subject. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras., With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York, Stony Brook, the book includes numerous exercises and worked examples, and is ideal for graduate courses on Lie groups and Lie algebras.
LC Classification Number
QA387.K486 2008

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