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The Structure of compact groups : a primer for the student, 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 |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2013.
|
| Edición: | 3rd edition, rev. and augmented. |
| Colección: | De Gruyter studies in mathematics ;
25. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Hofmann, Karl Heinrich, |e author. | |
| 245 | 1 | 4 | |a The Structure of compact groups : |b a primer for the student, a handbook for the expert / |c Karl H. Hofmann, Sidney A. Morris. |
| 250 | |a 3rd edition, rev. and augmented. | ||
| 260 | |a Berlin : |b De Gruyter, |c 2013. | ||
| 300 | |a 1 online resource (xxii, 924 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 | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a De Gruyter Studies in Mathematics ; |v 25 | |
| 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 Chapter 3. The Ideas of Peter and WeylPart 1: The Classical Theorem of Peter and Weyl; An Excursion into Linear Algebra; The G-modules E' --"E, Hom(E, E) and Hom(E, E)'; The Fine Structure of R(G, K); Part 2: The General Theory of G-Modules; Vector Valued Integration; The First Application: The Averaging Operator; Compact Groups Acting on Convex Cones; More Module Actions, Convolutions; Complexification of Real Representations; Postscript; References for this Chapter-Additional Reading; Chapter 4. Characters; Part 1: Characters of Finite Dimensional Representations. | |
| 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. | |
| 500 | |a Weil's Lemma and Compactly Generated Abelian Groups. | ||
| 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. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a In English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Compact groups. | |
| 650 | 6 | |a Groupes compacts. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Compact groups |2 fast | |
| 700 | 1 | |a Morris, Sidney A., |d 1947- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjrHHXg8Wy3j3Kw8vY7Dtq | |
| 758 | |i has work: |a The structure of compact groups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGFvXQyDvFB3FCjhbGtDRq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hofmann, Karl Heinrich. |t Structure of compact groups. |b Third edition, revised and augmented. |d Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2013] |z 9783110296556 |w (DLC) 2013020147 |w (OCoLC)845349975 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 25. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1347521 |z Texto completo |
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