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Representation Theory and Complex Analysis

Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004

Language EnglishEnglish
Book Paperback
Book Representation Theory and Complex Analysis Michael Cowling
Libristo code: 01569601
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, provid... Full description
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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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About the book

Full name Representation Theory and Complex Analysis
Language English
Binding Book - Paperback
Date of issue 2008
Number of pages 389
EAN 9783540768913
ISBN 3540768912
Libristo code 01569601
Weight 617
Dimensions 157 x 23 x 22
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