Representation Theory and Complex Analysis Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004 /

• Main Authors: Cowling, Michael (Author), Frenkel, Edward (Author), Kashiwara, Masaki (Author), Valette, Alain (Author), Vogan, David A. (Author), Wallach, Nolan R. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Tarabusi, Enrico Casadio (Editor), D'Agnolo, Andrea (Editor), Picardello, Massimo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1931
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Harmonic analysis.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of complex variables.; Functional Analysis.; Topological Groups, Lie Groups.; Abstract Harmonic Analysis.; Non-associative Rings and Algebras.; Global Analysis and Analysis on Manifolds.; Several Complex Variables and Analytic Spaces.

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 g...

Table of Contents:

• Applications of Representation Theory to Harmonic Analysis of Lie Groups (and Vice Versa)
• Ramifications of the Geometric Langlands Program
• Equivariant Derived Category and Representation of Real Semisimple Lie Groups
• Amenability and Margulis Super-Rigidity
• Unitary Representations and Complex Analysis
• Quantum Computing and Entanglement for Mathematicians.