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- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1931)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors, Editors and Affiliations
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Dipartimento di Matematica “G. Castelnuovo”, Sapienza Università di Roma, Italy
Enrico Casadio Tarabusi
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Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Italy
Andrea D'Agnolo
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Dipartimento di Matematica, Università di Roma “Tor Vergata”, Italy
Massimo Picardello
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School of Mathematics, University of New South Wales, 2052, Australia
Michael Cowling
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Department of Mathematics, University of California, Berkeley, USA
Edward Frenkel
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Research Institute for Mathematical Sciences, Kyoto University, 606-8502, Japan
Masaki Kashiwara
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Institut de Mathématiques, University of Neuchâtel, 2009, Switzerland
Alain Valette
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Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA
David A. Vogan
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Department of Mathematics, University of California, San Diego, USA
Nolan R. Wallach
Bibliographic Information
Book Title: Representation Theory and Complex Analysis
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004
Authors: Michael Cowling, Edward Frenkel, Masaki Kashiwara, Alain Valette, David A. Vogan, Nolan R. Wallach
Editors: Enrico Casadio Tarabusi, Andrea D'Agnolo, Massimo Picardello
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-76892-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-76891-3Published: 27 February 2008
eBook ISBN: 978-3-540-76892-0Published: 22 February 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 389
Topics: Functional Analysis, Topological Groups, Lie Groups, Abstract Harmonic Analysis, Non-associative Rings and Algebras, Global Analysis and Analysis on Manifolds, Several Complex Variables and Analytic Spaces