New Developments in Lie Theory and Their Applications

Wallach

ISBN 10: 1461277434 / ISBN 13: 9781461277439

Edité par Birkhäuser Boston, Birkhäuser Boston Sep 2011, 2011

A propos de cet article

This item is printed on demand - Print on Demand Titel. Neuware -Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 244 pp. Englisch.

N° de réf. du vendeur 9781461277439

Détails bibliographiques

• Titre: New Developments in Lie Theory and Their Applications
• Éditeur: Birkhäuser Boston, Birkhäuser Boston Sep 2011
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 1461277434
• ISBN à 13 chiffres: 9781461277439
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 14 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 14 millimètres de profondeur
• Poids: 376 grammes

A propos de ce titre

Synopsis

Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob- lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob- lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.