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In mathematics, Cartan formula can mean:
- one in differential geometry: , where , and are Lie derivative, exterior derivative, and interior product, respectively, acting on differential forms. See interior product for the detail. It is also called Cartan homotopy formula or Cartan magic formula. This formula is named after Élie Cartan .
- More precisely, these five axioms define 'cohomology operations', which are natural transformations between cohomology functors, which in turn define Steenrod algebra.
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