Representation Theory and Complex Analysis

Lieferzeit: Lieferbar innerhalb 14 Tagen

58,84 

Lectures given at the C.I.M.E.Summer School held in Venice, Italy, June 10-17,2004, Lecture Notes in Mathematics 1931 – C.I.M.E. Foundation Subseries

ISBN: 3540768912
ISBN 13: 9783540768913
Herausgeber: Enrico Casadio Tarabusi/Andrea D’Agnolo/Massimo A Picardello
Verlag: Springer Verlag GmbH
Umfang: xii, 389 S.
Erscheinungsdatum: 27.02.2008
Weitere Autoren: Cowling, Michael/Frenkel, Edward/Kashiwara, Masaki et al
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 6978096 Kategorie:

Beschreibung

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

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