TY  - BOOK
AU  - Cowling,Michael
AU  - Frenkel,Edward
AU  - Kashiwara,Masaki
AU  - Valette,Alain
AU  - Vogan,David A.
AU  - Wallach,Nolan R.
AU  - Tarabusi,Enrico Casadio
AU  - D'Agnolo,Andrea
AU  - Picardello,Massimo
ED  - SpringerLink (Online service)
TI  - Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 10–17, 2004 
T2  - Lecture Notes in Mathematics,
SN  - 9783540768920
AV  - QA319-329.9 
U1  - 515.7 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Nonassociative rings
KW  - Rings (Algebra)
KW  - Topological groups
KW  - Lie groups
KW  - Harmonic analysis
KW  - Functional analysis
KW  - Global analysis (Mathematics)
KW  - Manifolds (Mathematics)
KW  - Functions of complex variables
KW  - Functional Analysis
KW  - Topological Groups, Lie Groups
KW  - Abstract Harmonic Analysis
KW  - Non-associative Rings and Algebras
KW  - Global Analysis and Analysis on Manifolds
KW  - Several Complex Variables and Analytic Spaces
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-76892-0
ER  -