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Lie Groups and Lie Algebras

In: A History of Algebra

Author

Listed:
  • Bartel Leenert van der Waerden

    (Universität Zürich, Mathematisches Institut)

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.

Suggested Citation

  • Bartel Leenert van der Waerden, 1985. "Lie Groups and Lie Algebras," Springer Books, in: A History of Algebra, chapter 0, pages 160-174, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-51599-6_9
    DOI: 10.1007/978-3-642-51599-6_9
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