Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Maurer–Cartan form for a Lie group G is a distinguished differential one-form on G that carries within itself the basic infinitesimal information about the structure of G. It was much used by Elie 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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