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Record Nr. |
UNINA9910777605203321 |
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Autore |
Hofmann Karl Heinrich |
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Titolo |
The structure of compact groups [[electronic resource] ] : a primer for students, a handbook for the expert / / by Karl H. Hofmann, Sidney A. Morris |
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Pubbl/distr/stampa |
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New York, : Walter de Gruyter, 2006 |
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ISBN |
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1-282-19485-2 |
9786612194856 |
3-11-019977-7 |
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Edizione |
[2nd rev. ed.] |
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Descrizione fisica |
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1 online resource (876 p.) |
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Collana |
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De Gruyter studies in mathematics ; ; 25 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Compact groups |
Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- Contents -- Chapter 1 Basic Topics and Examples -- Chapter 2 The Basic Representation Theory of Compact Groups -- Chapter 3 The Ideas of Peter and Weyl -- Chapter 4 Characters -- Chapter 5 Linear Lie Groups -- Chapter 6 Compact Lie Groups -- Chapter 7 Duality for Abelian Topological Groups -- Chapter 8 Compact Abelian Groups -- Chapter 9 The Structure of Compact Groups -- Chapter 10 Compact Group Actions -- Chapter 11 The Structure of Free Compact Groups -- Chapter 12 Cardinal Invariants of Compact Groups -- Backmatter |
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Sommario/riassunto |
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Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book 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, on compact Lie groups, and on locally compact abelian groups. However, the thrust of book points in the direction of the structure |
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