Klein's "Erlanger Programm": do traces of it exist in physical theories?
Hubert Goenner
TL;DR
This paper explores whether Klein's Erlangen program has influenced physical theories, concluding that Lie's transformation groups have had a greater impact, with some connections to the Erlangen program identified.
Contribution
It investigates the influence of Klein's Erlangen program on physical theories and discusses extensions to tangential Lie algebroids.
Findings
Some connections between the Erlangen program and physical theories are found.
Lie's theory of transformation groups has had a larger impact.
Extension to tangential Lie algebroids is discussed.
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.
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Taxonomy
TopicsHistory and Theory of Mathematics · Homotopy and Cohomology in Algebraic Topology · Relativity and Gravitational Theory