1.

Record Nr.

UNINA9910163022203321

Titolo

Sophus Lie and Felix Klein : the Erlangen program and its impact in mathematics and physics

Pubbl/distr/stampa

[Place of publication not identified], : European Mathematical Society, 2015

Collana

IRMA lectures in mathematics and theoretical physics  Sophus Lie and Felix Klein

Soggetti

Geometry - History

Geometry, Projective

Group theory

Geometry

Mathematics

Physical Sciences & Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Sophus Lie, a giant in mathematics ; Felix Klein, his life and mathematics / Lizhen Li -- Klein and the Erlangen Programme / Jeremy J. Gray -- Klein's "Erlanger Programm" : do traces of it exist in physical theories? / Hubert Goenner -- On Klein's so-called non-Euclidean geometry / Norbert A 'Campo, Athanase Papadopoulos -- What are symmetries of PDEs and what are PDEs themselves? / Alexandre Vinogradov -- Transformation groups in non-Riemannian geometry / Charles Frances -- Transitional geometry / Norbert A 'Campo, Athanase Papadopoulos -- On the projective geometry of constant curvature spaces / Athanase Papadopoulos, Sumio Yamada -- The Erlangen program and discrete differential geometry / Yuri B. Suris -- Three-dimensional gravity--an application of Felix Klein's ideas in physics / Catherine Meusburger -- Invariances in physics and group theory / Jean-Bernard Zuber.