Lie Groups and Lie Algebras

Bartel Leenert van der Waerden
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Bartel Leenert van der Waerden: Universität Zürich, Mathematisches Institut

Chapter Chapter 9 in A History of Algebra, 1985, pp 160-174 from Springer

Abstract: Abstract What we today call a Lie group is called by Sophus Lie and his followers a “finite continuous group”. It is a connected topological group in which the elements in a neighbourhood of any group element are uniquely determined by the values of r parameters a1,...,ar, which vary in an open set of a Euclidean space. The parameters may be real or complex variables.

Keywords: Invariant Subgroup; Adjoint Group; Infinitesimal Transformation; Connected Topological Group; Projective Symplectic Group (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-3-642-51599-6_9

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