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The structure of compact groups : a primer for students, a handbook for the expert /
Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book - now in its third revised and augmented edition - has been conceived with the dual purpose of providing a text book for upper level gradua...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
Walter de Gruyter,
[2013]
|
| Edición: | Third edition. |
| Colección: | De Gruyter studies in mathematics ;
25. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Hofmann, Karl Heinrich. | |
| 245 | 1 | 4 | |a The structure of compact groups : |b a primer for students, a handbook for the expert / |c by Karl H. Hofmann, Sidney A. Morris. |
| 250 | |a Third edition. | ||
| 264 | 1 | |a Berlin ; |a Boston : |b Walter de Gruyter, |c [2013] | |
| 264 | 4 | |c ©2013 | |
| 300 | |a 1 online resource (946 pages) : |b illustrations | ||
| 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 De Gruyter studies in mathematics ; |v 25 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Chapter 1. Basic Topics and Examples; Definitions and Elementary Examples; Actions, Subgroups, Quotient Spaces; Products of Compact Groups; Applications to Abelian Groups; Projective Limits; Totally Disconnected Compact Groups; Some Duality Theory; Postscript; References for this Chapter-Additional Reading; Chapter 2. The Basic Representation Theory of Compact Groups; Some Basic Representation Theory for Compact Groups; The Haar Integral; Consequences of Haar Measure; The Main Theorem on Hilbert Modules for Compact Groups; Postscript; References for this Chapter-Additional Reading | |
| 505 | 8 | |a Part 2: The Structure Theorem of EfinCyclic Modules; Postscript; References for this Chapter-Additional Reading; Chapter 5. Linear Lie Groups; Preliminaries; The Exponential Function and the Logarithm; Differentiating the Exponential Function in a Banach Algebra; Local Groups for the Campbell-Hausdorff Multiplication; Subgroups of A-1 and Linear Lie Groups; Analytic Groups; The Intrinsic Exponential Function of a Linear Lie Group; The Adjoint Representation of a Linear Lie Group; Subalgebras, Ideals, Lie Subgroups, Normal Lie Subgroups; Normalizers, Centralizers, Centers | |
| 505 | 8 | |a The Commutator SubgroupForced Continuity of Morphisms between Lie Groups; Quotients of Linear Lie Groups; The Topological Splitting Theorem for Normal Vector Subgroups; Postscript; References for this Chapter-Additional Reading; Chapter 6. Compact Lie Groups; Compact Lie algebras; The Commutator Subgroup of a Compact Lie Group; The Structure Theorem for Compact Lie Groups; Maximal Tori; The Second Structure Theorem for Connected Compact Lie Groups; Compact Abelian Lie Groups and their Linear Actions; Action of a Maximal Torus on the Lie Algebra; The Weyl Group Revisited | |
| 505 | 8 | |a The Commutator Subgroup of Connected Compact Lie GroupsOn the Automorphism Group of a Compact Lie Group; Covering Groups of Disconnected Compact Lie Groups; Auerbach's Generation Theorem; The Topology of Connected Compact Lie Groups; Postscript; References for this Chapter-Additional Reading; Chapter 7. Duality of Abelian Topological Groups; The Compact Open Topology and Hom-Groups; Local Compactness and Duality of Abelian Topological Groups; Basic Functorial Aspects of Duality; The Annihilator Mechanism; Character Groups of Topological Vector Spaces; The Exponential Function | |
| 520 | |a Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book - now in its third revised and augmented edition - has been conceived with the dual purpose of providing a text book for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Compact groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 6 | |a Groupes compacts. | |
| 650 | 6 | |a Groupes de Lie. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Compact groups |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 653 | |a Australian | ||
| 700 | 1 | |a Morris, Sidney A., |d 1947- | |
| 776 | 0 | 8 | |i Print version: |a Hofmann, Karl Heinrich. |t Structure of compact groups : a primer for students, a handbook for the expert. |d Berlin : Walter de Gruyter, ©2013 |h xxi, 560 pages : illustrations |k De Gruyter studies in mathematics ; 25 |z 9783110296556 |w (DLC) 2013020147 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 25. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641781 |z Texto completo |
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