Name: Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics)
Price: 1568.00 TWD
Availability: InStock
Author: Jean-Pierre Serre
ISBN: 9783540550082

portada Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics)

Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics)

Type

Physical Book

Publisher

Springer

Author

Jean-Pierre Serre

Year

2005

Language

English

Pages

168

Format

Paperback

ISBN

3540550089

ISBN13

9783540550082

Edition No.

Synopsis "Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics) "

The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I. I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal,.. This part has been written with the help of F.Raggi and J.Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo tients. Definition 1. A Lie algebra over Ie isan algebrawith the following properties: 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x,y) under this map by [x,y) then the condition becomes for all x e k. [x,x)=0 2). (lx,II], z]+ny, z), x) + ([z,xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/,x).

Customers reviews

Have you read this book? Login to add your review.

More customer reviews

0% (0)
0% (0)
0% (0)
0% (0)
0% (0)

Questions and Answers about the Book

Do you have a question about the book? Login to be able to add your own question.

Opinions about Bookdelivery

More customer reviews

Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics) - Jean-Pierre Serre

Synopsis "Lie Algebras and lie Groups: 1964 Lectures Given at Harvard University (Lecture Notes in Mathematics) "

Customers reviews

Frequently Asked Questions about the Book

Is the book original?

In what language is the book written?

What is the format of this book?

Questions and Answers about the Book

Opinions about Bookdelivery