J E Humphreys

(Author)

Introduction to Lie Algebras and Representation Theory (Corr Print)Paperback - Corr Print, 23 January 1973

Introduction to Lie Algebras and Representation Theory (Corr Print)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Graduate Texts in Mathematics
Part of Series
Graduate Texts in Mathematics,
Print Length
173 pages
Language
English
Publisher
Springer
Date Published
23 Jan 1973
ISBN-10
0387900527
ISBN-13
9780387900520

Description

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 spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor- porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with toral subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.

Product Details

Author:
J E Humphreys
Book Edition:
Corr Print
Book Format:
Paperback
Country of Origin:
US
Date Published:
23 January 1973
Dimensions:
23.39 x 15.6 x 1.07 cm
ISBN-10:
0387900527
ISBN-13:
9780387900520
Language:
English
Location:
New York, NY
Pages:
173
Publisher:
Weight:
281.23 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.