C.I.M.E. Foundation Subseries

Representation Theory and Complex Analysis

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

Authors: Cowling, M., Frenkel, E., Kashiwara, M., Valette, A., Vogan, D.A., Wallach, N.R.

Editors: Casadio Tarabusi, Enrico, D'Agnolo, Andrea, Picardello, Massimo A. (Eds.)

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  • ISBN 978-3-540-76892-0
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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.

Table of contents (6 chapters)

  • Applications of Representation Theory to Harmonic Analysis of Lie Groups (and Vice Versa)

    Cowling, Michael

    Pages 1-50

  • Ramifications of the Geometric Langlands Program

    Frenkel, Edward

    Pages 51-135

  • Equivariant Derived Category and Representation of Real Semisimple Lie Groups

    Kashiwara, Masaki

    Pages 137-234

  • Amenability and Margulis Super-Rigidity

    Valette, Alain

    Pages 235-258

  • Unitary Representations and Complex Analysis

    Vogan, David A.

    Pages 259-344

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-76892-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-3-540-76891-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Editors
  • Enrico Casadio Tarabusi
  • Andrea D'Agnolo
  • Massimo A. Picardello
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1931
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-76892-0
DOI
10.1007/978-3-540-76892-0
Softcover ISBN
978-3-540-76891-3
Edition Number
1
Number of Pages
XII, 389
Topics