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

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...

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Hlavní autoři: Cowling, Michael (Autor), Cowling, Michael, 1949-...., mathématicien (Autor), Wallach, Nolan R., 1940- (Autor), Frenkel, Edward, 1968-...., mathématicien (Autor), Kashiwara, Masaki, 1947-...., mathématicien (Autor), Vogan, David A., 1954-...., Jr (Autor), Valette, Alain, 1958- (Autor)
Korporativní autor: Centro internazionale matematico estivo. Summer school :Venise, Italie
Další autoři: D'Agnolo, Andrea (Šéfredaktor, odpovědný redaktor), Tarabusi, Enrico Casadio (Šéfredaktor, odpovědný redaktor), Picardello, Massimo A., 1949-...., mathématicien (Šéfredaktor, odpovědný redaktor), DAgnolo, Andrea (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg 2008.
Cham : Springer Nature
Edice:C.I.M.E. Foundation Subseries 1931
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Edition sous un autre format:• Representation Theory and Complex Analysis, Texte imprimé, 9783540846123
• Representation theory and complex analysis, lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004, Michael Cowling, Edward Frenkel, Masaki Kashiwara... [et al.], 2008, Berlin, Springer, Fondazione CIME, 1 vol. (XII-380 p.), Lecture notes in mathematics, 978-3-540-76891-3
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Shrnutí: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.
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ISBN:9783540768920
ISSN:2946-1820
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