In mathematics, Cartan formula can mean: one in differential geometry: L X = d ι X + ι X d {\displaystyle {\mathcal {L}}_{X}=\mathrm {d} \,\iota _{X}+\iota...

differential forms by the Cartan formula (also known as the Cartan identity, Cartan homotopy formula or Cartan magic formula): L X ω = d ( ι X ω ) + ι...

criterion Cartan decomposition Cartan's equivalence method Cartan formalism (physics) Cartan involution Cartan's magic formula Cartan relations Cartan map Cartan...

known variously as Cartan formula, Cartan homotopy formula or Cartan's magic formula. See interior product for details. The Cartan formula can be used as...

In algebraic topology, a Steenrod algebra was defined by Henri Cartan (1955) to be the algebra of stable cohomology operations for mod p {\displaystyle...

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...

{\displaystyle {\mathfrak {g}}} . Suppose h {\displaystyle {\mathfrak {h}}} is a Cartan subalgebra of g {\displaystyle {\mathfrak {g}}} . The character of π {\displaystyle...

In mathematics, the Baker–Campbell–Hausdorff formula gives the value of Z {\displaystyle Z} that solves the equation e X e Y = e Z {\displaystyle e^{X}e^{Y}=e^{Z}}...

In mathematics, Cartan's criterion gives conditions for a Lie algebra in characteristic 0 to be solvable, which implies a related criterion for the Lie...

they have a Weyl group, Weyl character formula, Cartan subalgebra, roots, weights, and so on. A symmetrized Cartan matrix is a (possibly infinite) square...