Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University / Edition 2

Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University / Edition 2

by Jean-Pierre Serre
     
 

ISBN-10: 3540550089

ISBN-13: 9783540550082

Pub. Date: 10/18/2005

Publisher: Springer Berlin Heidelberg

This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but

Overview

This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large.

Product Details

ISBN-13:
9783540550082
Publisher:
Springer Berlin Heidelberg
Publication date:
10/18/2005
Series:
Lecture Notes in Mathematics Series, #1500
Edition description:
2nd ed. 1992. Corr. 5th printing 2005
Pages:
176
Product dimensions:
6.10(w) x 9.20(h) x 0.40(d)

Related Subjects

Table of Contents

Lie Algebras.- Lie Algebras: Definition and Examples.- Filtered Groups and Lie Algebras.- Universal Algebra of a Lie Algebra.- Free Lie Algebras.- Nilpotent and Solvable Lie Algebras.- Semisimple Lie Algebras.- Representations of .- Lie Groups.- Complete Fields.- Analytic Functions.- Analytic Manifolds.- Analytic Groups.- Lie Theory.

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