Unitary Representations of Reductive Lie Groups. (AM-118) (Annals of Mathematics Studies) - Couverture souple

Livre 162 sur 202: Annals of Mathematics Studies

Vogan, David A.

 
9780691084824: Unitary Representations of Reductive Lie Groups. (AM-118) (Annals of Mathematics Studies)
Couverture souple
ISBN 10 : 0691084823 ISBN 13 : 9780691084824
Editeur : Princeton University Press, 1987

Synopsis

This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations" The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations" The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
1987
Langue
anglais
ISBN 10 
0691084823
ISBN 13 
9780691084824
Reliure
Broché
Nombre de pages
320
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691084817: Unitary Representations of Reductive Lie Groups

Edition présentée

ISBN 10 :  0691084815 ISBN 13 :  9780691084817
Editeur : Princeton University Press, 1987
Couverture rigide