Left-invariant differential form

Let $G$ be a Lie group, and for $a\in G$ let $L_a:G\to G$ denote left multiplication. A differential form $\theta$ is called left-invariant if for every $g\in G$

$$ L_a^*(\theta_g)=\theta_{a^{-1}g}. $$

The standard example is the MC form.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es


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