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  • © 2013

Lie Groups: Structure, Actions, and Representations

In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday

Birkhäuser

Editors:

(view affiliations)
  • Invited contributions are written by distinguished researchers in the field

  • Most articles are surveys of important research areas involving algebraic, geometric, and analytic methods

  • Finite groups and classical finite dimensional as well as infinite-dimensional Lie groups and algebras are discussed in detail

  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 306)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiv
  2. Real Group Orbits on Flag Manifolds

    • Dmitri Akhiezer
    Pages 1-24
  3. Complex Connections with Trivial Holonomy

    • Adrian Andrada, Maria Laura Barberis, Isabel Dotti
    Pages 25-39
  4. Indefinite Harmonic Theory and Harmonic Spinors

    • Leticia Barchini, Roger Zierau
    Pages 41-57
  5. Twistor Theory and the Harmonic Hull

    • Michael Eastwood, Feng Xu
    Pages 59-80
  6. Weak Harmonic Maaß Forms and the Principal Series for \(SL(2, \mathbb{R})\)

    • Peter Kostelec, Stephanie Treneer, Dorothy Wallace
    Pages 175-184
  7. One-Step Spherical Functions of the Pair (SU(n+1), U(n))

    • Inés Pacharoni, Juan Tirao
    Pages 309-354

About this book

Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume.  Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis.

 

Contributors

 

D. Akhiezer                         T. Oshima

A. Andrada                         I. Pacharoni

M. L. Barberis                    F. Ricci

L. Barchini                            S. Rosenberg

I. Dotti                                  N. Shimeno

M. Eastwood                     J. Tirao

V. Fischer                            S. Treneer

T. Kobayashi                       C.T.C. Wall

A. Korányi                           D. Wallace

B. Kostant                           K. Wiboonton

P. Kostelec                          F. Xu

K.-H. Neeb                          O. Yakimova

G. Olafsson                         R. Zierau

B. Ørsted

Keywords

  • Hilbert's problems
  • Lie theory
  • Lorentz Group
  • Representation theory
  • differentiable manifold

Editors and Affiliations

  • Remagen, Germany

    Alan Huckleberry

  • Jacobs University School of Engineering and Science, Bremen, Germany

    Ivan Penkov

  • Yale University Dept. Mathematics, New Haven, USA

    Gregg Zuckerman

Bibliographic Information

Buying options

eBook
USD 99.00
Price excludes VAT (USA)
  • ISBN: 978-1-4614-7193-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 129.00
Price excludes VAT (USA)
Hardcover Book
USD 149.99
Price excludes VAT (USA)