paper

Klein's "Erlanger Programm": do traces of it exist in physical theories?

arXiv:1510.08319

Abstract

A possible influence of Klein's Erlangen program on physical theories is investigated. While some connections are found, it is concluded that Lie's theory of transformation groups and Lie algebras have had a much larger impact. In this context, an extension to tangential Lie algebroids is discussed.

arXiv commentLizhen Ji & Athanase Papadopoulos, eds. Sophus Lie and Felix Klein: The Erlangen Program and its impact in mathematics and physics. Zürich: European Mathematical Society 2015