Harmonic Analysis and Representations of Semi-Simple Lie Groups: Lectures Given at the NATO Advanced Study Institute on Representations of Lie Group: ... at Ličge, Belgium, September 5-17, 1977: 005 - Rilegato

NATO Advanced Study Institute On Representations Of Lie Groups And Harmonic Analysis (1977 : Liege, Belgium); Wolf, Joseph Albert; Cahen, M.; Wilde, M. De; NATO Advanced Study Institute (1977 : Liege, Belgium)

Rilegato

ISBN 10: 9027710422 ISBN 13: 9789027710420

Casa editrice: D Reidel Pub Co, 1980

Riassunto

This book presents the text of the lectures which were given at the NATO Advanced Study Institute on Representations of Lie groups and Harmonic Analysis which was held in Liege from September 5 to September 17, 1977. The general aim of this Summer School was to give a coordinated intro­ duction to the theory of representations of semisimple Lie groups and to non-commutative harmonic analysis on these groups, together with some glance at physical applications and at the related subject of random walks. As will appear to the reader, the order of the papers - which follows relatively closely the order of the lectures which were actually give- follows a logical pattern. The two first papers are introductory: the one by R. Blattner describes in a very progressive way a path going from standard Fourier analysis on IR" to non-commutative harmonic analysis on a locally compact group; the paper by J. Wolf describes the structure of semisimple Lie groups, the finite-dimensional representations of these groups and introduces basic facts about infinite-dimensional unitary representations. Two of the editors want to thank particularly these two lecturers who were very careful to pave the way for the later lectures. Both these chapters give also very useful guidelines to the relevant literature.

Su questo libro

Contenuti

General Background.- Foundations of Representation Theory for Semisimple Lie Groups.- Infinitesimal Theory of Representations of Semisimple Lie Groups.- The Role of Differential Equations in the Plancherel Theorem.- A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Erratum to the Paper: A Geometric Construction of the Discrete Series for Semisimple Lie Groups.- Deformations of Poisson Brackets. Separate and Joint Analyticity in Group Representations. Non-linear Group Representations and Physical Applications.- to the 1-Cohomology of Lie Groups.- Random Walks on Lie Groups.

Product Description

Book by None

Dettagli dell?edizione

• Editore: D Reidel Pub Co
• Data di pubblicazione: 1980
• Lingua: Inglese
• ISBN 10: 9027710422
• ISBN 13: 9789027710420
• Rilegatura: Copertina rigida
• Numero di pagine: 495
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania