---

＜電子ブック＞
Representation Theory and Complex Analysis : Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004 / by Michael Cowling, Edward Frenkel, Masaki Kashiwara, Alain Valette, David A. Vogan, Nolan R. Wallach ; edited by Enrico Casadio Tarabusi, Andrea D'Agnolo, Massimo A. Picardello
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1931)

版	1st ed. 2008.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	2008
本文言語	英語
大きさ	XII, 389 p : online resource
著者標目	*Cowling, Michael author Frenkel, Edward author Kashiwara, Masaki author Valette, Alain author Vogan, David A author Wallach, Nolan R author Casadio Tarabusi, Enrico editor D'Agnolo, Andrea editor Picardello, Massimo A editor SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Topological groups LCSH:Lie groups LCSH:Harmonic analysis LCSH:Nonassociative rings LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Functions of complex variables FREE:Functional Analysis FREE:Topological Groups and Lie Groups FREE:Abstract Harmonic Analysis FREE:Non-associative Rings and Algebras FREE:Global Analysis and Analysis on Manifolds FREE:Several Complex Variables and Analytic Spaces
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-76892-0

 類似資料