Lie Groups and Compact Groups

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Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audience.

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Title Statements

Full title :Lie Groups and Compact Groups / John F. Price.

Summary

Provides a self-contained introduction to Lie groups and makes results about the structure of Lie groups and compact groups available to a wide audience.

Edition Statements

Publication Date:1977.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:1977.

Notes

Title from publishers bibliographic system (viewed 22 Dec 2011).

Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012.

The Physical Object

Description:1 online resource (188 pages)

Edition Identifiers

ISBN:9780511600715, 0511600712, 9780521213400, 0521213401, 9781107365773, 1107365775
oclc:ocn776969547
LC Classification:QA387 .P74
Dewey Decimal:512/.55

Cover -- Title -- Copyright -- Contents -- Preface -- Chapter 1 Analytic manifolds -- 1. 1 Manifolds and differentiability -- 1. 2 The tangent bundle -- 1. 3 Vector fields -- Notes -- Exercises -- Chapter 2 Lie groups and Lie algebras -- 2. 1 Lie groups -- 2. 2 The Lie algebra of a Lie group -- 2. 3 Homomorphisms of Lie groups -- 2. 4 The general linear group -- Notes -- Exercises -- Chapter 3 The Campbell-Baker-Hausdorff formula -- 3.1 The CBH formula for Lie algebras -- 3. 2 The CBH formula for Lie groups -- 3. 3 Closed subgroups.

3. 4 Simply connected Lie groups -- Notes -- Exercises -- Chapter 4 The geometry of Lie groups -- 4.1 Riemannian manifolds -- 4. 2 Invariant metrics on Lie groups -- 4. 3 Geodesies on Lie groups -- Notes -- Exercises -- Chapter 5 Lie subgroups and subalgebras -- 5.1 Subgroups and subalgebras -- 5. 2 Normal subgroups and ideals -- Notes -- Exercises -- Chapter 6 Characterisations and structure of compact Lie Groups -- 6.1 Compact groups and Lie groups -- 6. 2 Linear Lie groups -- 6. 3 Simple and semisimple Lie algebras.

6. 4 The structure of compact Lie groups -- 6. 5 Compact connected groups -- Notes -- Exercises -- Appendix A Abstract harmonic analy…