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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
Taschenbuch von Michael Cowling (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: C.I.M.E. Foundation Subseries
Inhalt: xii
389 S.
ISBN-13: 9783540768913
ISBN-10: 3540768912
Sprache: Englisch
Herstellernummer: 12193967
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cowling, Michael
Kashiwara, Masaki
Vogan, David A.
Valette, Alain
Frenkel, Edward
Wallach, Nolan R.
Redaktion: D'Agnolo, Andrea
Picardello, Massimo A.
Casadio Tarabusi, Enrico
Herausgeber: Enrico Casadio Tarabusi/Andrea D'Agnolo/Massimo A Picardello
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
C.I.M.E. Foundation Subseries
Maße: 235 x 155 x 22 mm
Von/Mit: Michael Cowling (u. a.)
Erscheinungsdatum: 27.02.2008
Gewicht: 0,61 kg
Artikel-ID: 101909426
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: C.I.M.E. Foundation Subseries
Inhalt: xii
389 S.
ISBN-13: 9783540768913
ISBN-10: 3540768912
Sprache: Englisch
Herstellernummer: 12193967
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Cowling, Michael
Kashiwara, Masaki
Vogan, David A.
Valette, Alain
Frenkel, Edward
Wallach, Nolan R.
Redaktion: D'Agnolo, Andrea
Picardello, Massimo A.
Casadio Tarabusi, Enrico
Herausgeber: Enrico Casadio Tarabusi/Andrea D'Agnolo/Massimo A Picardello
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
C.I.M.E. Foundation Subseries
Maße: 235 x 155 x 22 mm
Von/Mit: Michael Cowling (u. a.)
Erscheinungsdatum: 27.02.2008
Gewicht: 0,61 kg
Artikel-ID: 101909426
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