Skip to main content
SpringerLink
Log in
Birkhäuser

Lie Groups: Structure, Actions, and Representations

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

  • Book
  • © 2013

Overview

Editors:
  1. Alan Huckleberry

    1. Remagen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Ivan Penkov

    1. Jacobs University School of Engineering and Science, Bremen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Gregg Zuckerman

    1. Yale University Dept. Mathematics, New Haven, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  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. Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Singular Sets

    • Véronique Fischer, Fulvio Ricci, Oksana Yakimova
    Pages 81-112

  7. Propagation of Multiplicity-Freeness Property for Holomorphic Vector Bundles

    • Toshiyuki Kobayashi
    Pages 113-140

  8. Poisson Transforms for Line Bundles from the Shilov Boundary to Bounded Symmetric Domains

    • Adam Korányi
    Pages 141-162

  9. Center \(U(\mathfrak{n})\), Cascade of Orthogonal Roots, and a Construction of Lipsman–Wolf

    • Bertram Kostant
    Pages 163-173

  10. Weak Harmonic Maaß Forms and the Principal Series for \(SL(2, \mathbb{R})\)

    • Peter Kostelec, Stephanie Treneer, Dorothy Wallace
    Pages 175-184

  11. Holomorphic Realization of Unitary Representations of Banach–Lie Groups

    • Karl-Hermann Neeb
    Pages 185-223

  12. The Segal–Bargmann Transform on Compact Symmetric Spaces and Their Direct Limits

    • Gestur Ólafsson, Keng Wiboonton
    Pages 225-253

  13. Analysis on Flag Manifolds and Sobolev Inequalities

    • Bent Ørsted
    Pages 255-271

  14. Boundary Value Problems on Riemannian Symmetric Spaces of the Noncompact Type

    • Toshio Oshima, Nobukazu Shimeno
    Pages 273-308

  15. One-Step Spherical Functions of the Pair (SU(n+1), U(n))

    • Inés Pacharoni, Juan Tirao
    Pages 309-354

  16. Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups

    • Steven Rosenberg
    Pages 355-380

  17. On the Structure of Finite Groups with Periodic Cohomology

    • C. T. C. Wall
    Pages 381-413
Back to top

Keywords

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

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

  • Book Title: Lie Groups: Structure, Actions, and Representations

  • Book Subtitle: In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday

  • Editors: Alan Huckleberry, Ivan Penkov, Gregg Zuckerman

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4614-7193-6

  • Publisher: Birkhäuser New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-7192-9Published: 03 August 2013

  • Softcover ISBN: 978-1-4899-9057-0Published: 23 August 2015

  • eBook ISBN: 978-1-4614-7193-6Published: 04 August 2013

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XIV, 413

  • Topics: Topological Groups, Lie Groups, Associative Rings and Algebras, Functional Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation