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BooksirmaCollected Volume

Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics

Editors

  • Lizhen Ji

    University of Michigan, Ann Arbor, USA
  • Athanase Papadopoulos

    Université de Strasbourg, France
  • Overview
  • Contents
Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics cover
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  • pp. 1–26

    Sophus Lie, a giant in mathematics

    Lizhen Ji

  • pp. 27–58

    Felix Klein: his life and mathematics

    Lizhen Ji

  • pp. 59–75

    Klein and the Erlangen Programme

    Jeremy J. Gray

  • pp. 77–90

    Klein’s “Erlanger Programm”: do traces of it exist in physical theories?

    Hubert Goenner

  • pp. 91–136

    On Klein’s <i>So-called Non-Euclidean geometry</i>

    Norbert A’CampoAthanase Papadopoulos

  • pp. 137–190

    What are symmetries of PDEs and what are PDEs themselves?

    Alexandre Vinogradov

  • pp. 191–216

    Transformation groups in non-Riemannian geometry

    Charles Frances

  • pp. 217–235

    Transitional geometry

    Norbert A’CampoAthanase Papadopoulos

  • pp. 237–245

    On the projective geometry of constant curvature spaces

    Athanase PapadopoulosSumio Yamada

  • pp. 247–281

    The Erlangen program and discrete differential geometry

    Yuri B. Suris

  • pp. 283–306

    Three-dimensional gravity – an application of Felix Klein’s ideas in physics

    Catherine Meusburger

  • pp. 307–324

    Invariances in physics and group theory

    Jean-Bernard Zuber

Publication Date

30 April 2015

Identifiers

DOI
10.4171/148
ISBN print
978-3-03719-148-4
ISBN digital
978-3-03719-648-9

Print

Hardcover, 348 pages, 17cm x 24cm

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