Mathematical Object

Maurer-Cartan Form

Geometry

In mathematics, the Maurer-Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about the structure of G. It was extensively used by Élie Cartan as a basic ingredient of his method of moving frames, and it bears his name together with that of Ludwig Maurer. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Geometric Object 1
Maurer-Cartan Form
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Source Maurer-Cartan Form (Wikipedia)
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1. Maurer-Cartan Form (Wikipedia)
  • Lead section
    In mathematics, the Maurer-Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about the structure of G. It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with that of Ludwig Maurer.
  • In Branch: Lie Theory, Lead sentence
  • Attributed To: Élie Cartan, Lead paragraph
    In mathematics, the Maurer-Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about
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Maurer-Cartan Form (Wikipedia)
Principal Result Of: Élie Cartan, Lead sentence of the article on the result
Quote, Principal Result Of: Élie Cartan, Lead sentence of the article on the result
It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with that of Ludwig Maurer.
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