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Lie groups and compact groups /
The theory of Lie groups is a very active part of mathematics and it is the twofold aim of these notes to provide a self-contained introduction to the subject and to make results about the structure of Lie groups and compact groups available to a wide audience. Particular emphasis is placed upon res...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
1977.
|
| Colección: | London Mathematical Society lecture note series ;
25. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Price, John F. |q (John Frederick), |d 1943- | |
| 245 | 1 | 0 | |a Lie groups and compact groups / |c John F. Price. |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1977. | ||
| 300 | |a 1 online resource (ix, 177 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 25 | |
| 504 | |a Includes bibliographical references (pages 169-173) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The theory of Lie groups is a very active part of mathematics and it is the twofold aim of these notes to provide a self-contained introduction to the subject and to make results about the structure of Lie groups and compact groups available to a wide audience. Particular emphasis is placed upon results and techniques which explicate the interplay between a Lie group and its Lie algebra, and, in keeping with current trends, a coordinate-free notation is used. Much of the general theory is illustrated by examples and exercises involving specific Lie groups. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 4.1 Riemannian manifolds4. 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 analysis; A. 1 Topological groups; A. 2 Representations; A. 3 Compact groups | |
| 505 | 8 | |a A. 4 The Haar integralBibliography; Index | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Compact groups. | |
| 650 | 6 | |a Groupes de Lie. | |
| 650 | 6 | |a Groupes compacts. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Compact groups |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 650 | 1 | 7 | |a Lie-groepen. |2 gtt |
| 650 | 1 | 7 | |a Topologische groepen. |2 gtt |
| 650 | 7 | |a Lie, Groupes de. |2 ram | |
| 650 | 7 | |a Groupes compacts. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Price, John F. (John Frederick), 1943- |t Lie groups and compact groups. |d Cambridge [Eng.] ; New York : Cambridge University Press, 1977 |z 0521213401 |w (DLC) 76014034 |w (OCoLC)2597532 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 25. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552424 |z Texto completo |
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