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Induced representations of locally compact groups
"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may...
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Induced representations of locally compact groups / Eberhard Kaniuth,... Keith F. Taylor,... |
| Publié : |
Cambridge, New York :
Cambridge University Press
, 2013 |
| Description matérielle : | 1 vol. (XIII-343 p.) |
| Collection : | Cambridge tracts in mathematics ; 197 |
| Accès en ligne : |
Informations complémentaires sur la publication à l'adresse
|
| Sujets : |
| LEADER | 03290cam a2200493 4500 | ||
|---|---|---|---|
| 001 | PPN166160164 | ||
| 003 | http://www.sudoc.fr/166160164 | ||
| 005 | 20190627114300.0 | ||
| 010 | |a 978-0-521-76226-7 |b rel. | ||
| 010 | |a 0-521-76226-X |b rel. | ||
| 020 | |a US |b 2012027124 | ||
| 035 | |a (OCoLC)835469162 | ||
| 073 | 1 | |a 9780521762267 | |
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| 101 | 0 | |a eng | |
| 102 | |a GB |a US | ||
| 105 | |a y a 001yy | ||
| 106 | |a r | ||
| 200 | 1 | |a Induced representations of locally compact groups |b Texte imprimé |f Eberhard Kaniuth,... Keith F. Taylor,... | |
| 210 | |a Cambridge |a New York |c Cambridge University Press |d 2013 | ||
| 215 | |a 1 vol. (XIII-343 p.) |c fig. |d 24 cm | ||
| 225 | 2 | |a Cambridge tracts in mathematics |v 197 | |
| 300 | |a Informations complémentaires sur la publication à l'adresse |u http://www.cambridge.org/9780521762267 | ||
| 320 | |a Bibliogr. p. 333-339. Index | ||
| 330 | |a "Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey's methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey's approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell'swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup" | ||
| 359 | 2 | |b 1. Basics |b 2. Induced representations |b 3. The imprimitivity theorem |b 4. Mackey analysis |b 5. Topologies on dual spaces |b 6. Topological Frobenius properties |b 7. Further applications | |
| 410 | | | |0 01360452X |t Cambridge tracts in mathematics |x 0950-6284 |v 197 | |
| 606 | |3 PPN027842010 |a Groupes localement compacts |2 rameau | ||
| 606 | |3 PPN027391981 |a Espaces topologiques |2 rameau | ||
| 606 | |3 PPN02724251X |a Représentations de groupes |2 rameau | ||
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| 680 | |a QA387 |b .K356 2013 | ||
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| 701 | 1 | |3 PPN16062729X |a Taylor |b Keith F. |f 1950-.... |4 070 | |
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