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


Book details

Sophus Lie, a giant in mathematics
Lizhen Ji
pp. 1–26
Abstract | Full-Text PDF (249 KB)

Felix Klein: his life and mathematics
Lizhen Ji
pp. 27–58
Abstract | Full-Text PDF (238 KB)

Klein and the Erlangen Programme
Jeremy J. Gray
pp. 59–75
Abstract | Full-Text PDF (708 KB)

Klein’s “Erlanger Programm”: do traces of it exist in physical theories?
Hubert Goenner
pp. 77–90
Abstract | Full-Text PDF (184 KB)

On Klein’s So-called Non-Euclidean geometry
Norbert A’Campo and Athanase Papadopoulos
pp. 91–136
Abstract | Full-Text PDF (1051 KB)

What are symmetries of PDEs and what are PDEs themselves?
Alexandre Vinogradov
pp. 137–190
Abstract | Full-Text PDF (505 KB)

Transformation groups in non-Riemannian geometry
Charles Frances
pp. 191–216
Abstract | Full-Text PDF (284 KB)

Transitional geometry
Norbert A’Campo and Athanase Papadopoulos
pp. 217–235
Abstract | Full-Text PDF (219 KB)

On the projective geometry of constant curvature spaces
Athanase Papadopoulos and Sumio Yamada
pp. 237–245
Abstract | Full-Text PDF (139 KB)

The Erlangen program and discrete differential geometry
Yuri B. Suris
pp. 247–281
Abstract | Full-Text PDF (1196 KB)

Three-dimensional gravity – an application of Felix Klein’s ideas in physics
Catherine Meusburger
pp. 283–306
Abstract | Full-Text PDF (528 KB)

Invariances in physics and group theory
Jean-Bernard Zuber
pp. 307–324
Abstract | Full-Text PDF (212 KB)

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