Lie theory : unitary representations and compactifications of symmetric spaces
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-establ...
में बचाया:
| मुख्य लेखक: | |
|---|---|
| अन्य लेखक: | |
| स्वरूप: | Livre numérique |
| भाषा: | Anglais |
| प्रकाशित: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| संस्करण: | 1st ed. 2005. |
| श्रृंखला: | Progress in Mathematics
229 |
| ऑनलाइन पहुंच: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| टिप्पणी: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lie theory, unitary representations and compactifications of symmetric spaces, Jean-Philippe Anker, Bent Orsted, editors, 2005, Boston, Birkhäuser, 1 volume (X-207 pages), Progress in mathematics, 0-8176-3526-2 • Lie Theory, Texte imprimé, 9780817670467 |
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| 100 | 1 | |a Anker, Jean-Philippe, |d 1955-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Lie theory : |b unitary representations and compactifications of symmetric spaces |c edited by Jean-Philippe Anker, Bent Orsted. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Mathematics |v 229 |x 2296-505X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a to Symmetric Spaces and Their Compactifications Compactifications of Symmetric and Locally Symmetric Spaces Restrictions of Unitary Representations of Real Reductive Groups. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji, and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications; and branching laws for unitary representations, i.e., restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles. Ji's introductory chapter motivates the subject of symmetric spaces and their compactifications with carefully selected examples. A discussion of Satake and Furstenberg boundaries and a survey of the geometry of Riemannian symmetric spaces in general provide a good background for the second chapter, namely, the Borel Ji authoritative treatment of various types of compactifications useful for studying symmetric and locally symmetric spaces. Borel Ji further examine constructions of Oshima, De Concini, Procesi, and Melrose, which demonstrate the wide applicability of compactification techniques. Kobayashi examines the important subject of branching laws. Important concepts from modern representation theory, such as Harish Chandra modules, associated varieties, microlocal analysis, derived functor modules, and geometric quantization are introduced. Concrete examples and relevant exercises engage the reader. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups and symmetric spaces is required of the reader. | ||
| 700 | 1 | |a Orsted, Bent, |d 19..- |4 pbd | |
| 776 | 0 | |0 08885731X |t Lie theory |o unitary representations and compactifications of symmetric spaces |f Jean-Philippe Anker, Bent Orsted, editors |d 2005 |c Boston |n Birkhäuser |p 1 volume (X-207 pages) |s Progress in mathematics |z 0-8176-3526-2 | |
| 776 | 0 | |t Lie Theory |b Texte imprimé |z 9780817670467 | |
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