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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
Walter de Gruyter,
[2013]
|
| Ausgabe: | Third edition. |
| Schriftenreihe: | De Gruyter studies in mathematics ;
25. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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, |
| Beschreibung: | 1 online resource (946 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110296792 3110296799 |
Internformat
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| 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 | |
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| 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, | ||
| 650 | 0 | |a Compact groups. |0 http://id.loc.gov/authorities/subjects/sh85029280 | |
| 650 | 0 | |a Lie groups. |0 http://id.loc.gov/authorities/subjects/sh85076786 | |
| 650 | 6 | |a Groupes compacts. | |
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| contents | 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 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 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 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 |
| ctrlnum | (OCoLC)865846715 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Third edition. |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:25:41Z |
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| isbn | 9783110296792 3110296799 |
| language | English |
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| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter studies in mathematics ; |
| spelling | Hofmann, Karl Heinrich. The structure of compact groups : a primer for students, a handbook for the expert / by Karl H. Hofmann, Sidney A. Morris. Third edition. Berlin ; Boston : Walter de Gruyter, [2013] ©2013 1 online resource (946 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter studies in mathematics ; 25 Includes bibliographical references and index. Print version record. 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 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 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 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 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, Compact groups. http://id.loc.gov/authorities/subjects/sh85029280 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes compacts. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Compact groups fast Lie groups fast Australian Morris, Sidney A., 1947- https://id.oclc.org/worldcat/entity/E39PCjrHHXg8Wy3j3Kw8vY7Dtq http://id.loc.gov/authorities/names/n98061088 Print version: Hofmann, Karl Heinrich. Structure of compact groups : a primer for students, a handbook for the expert. Berlin : Walter de Gruyter, ©2013 xxi, 560 pages : illustrations De Gruyter studies in mathematics ; 25 9783110296556 (DLC) 2013020147 De Gruyter studies in mathematics ; 25. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641781 Volltext |
| spellingShingle | Hofmann, Karl Heinrich The structure of compact groups : a primer for students, a handbook for the expert / De Gruyter studies in mathematics ; 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 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 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 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 Compact groups. http://id.loc.gov/authorities/subjects/sh85029280 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes compacts. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Compact groups fast Lie groups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85029280 http://id.loc.gov/authorities/subjects/sh85076786 |
| title | The structure of compact groups : a primer for students, a handbook for the expert / |
| title_auth | The structure of compact groups : a primer for students, a handbook for the expert / |
| title_exact_search | The structure of compact groups : a primer for students, a handbook for the expert / |
| title_full | The structure of compact groups : a primer for students, a handbook for the expert / by Karl H. Hofmann, Sidney A. Morris. |
| title_fullStr | The structure of compact groups : a primer for students, a handbook for the expert / by Karl H. Hofmann, Sidney A. Morris. |
| title_full_unstemmed | The structure of compact groups : a primer for students, a handbook for the expert / by Karl H. Hofmann, Sidney A. Morris. |
| title_short | The structure of compact groups : |
| title_sort | structure of compact groups a primer for students a handbook for the expert |
| title_sub | a primer for students, a handbook for the expert / |
| topic | Compact groups. http://id.loc.gov/authorities/subjects/sh85029280 Lie groups. http://id.loc.gov/authorities/subjects/sh85076786 Groupes compacts. Groupes de Lie. MATHEMATICS Algebra Intermediate. bisacsh Compact groups fast Lie groups fast |
| topic_facet | Compact groups. Lie groups. Groupes compacts. Groupes de Lie. MATHEMATICS Algebra Intermediate. Compact groups Lie groups |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=641781 |
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