Representation Theory and Complex Analysis - Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 (Paperback, 2008 ed.)

Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups. David Vogan deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support. Nolan Wallach illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1931
Release date:	February 2008
First published:	2008
Editors:	Enrico Casadio Tarabusi
Authors:	Michael Cowling
Editors:	Andrea D'Agnolo
Authors:	Edward Frenkel • Masaki Kashiwara
Editors:	Massimo A. Picardello
Authors:	Alain Valette • David A. Vogan • Nolan R. Wallach
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Paperback
Pages:	389
Edition:	2008 ed.
ISBN-13:	978-3-540-76891-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-540-76891-2
Barcode:	9783540768913

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