DGequal(S1, S2)

Example 1.

First initialize a 4-dimensional manifold M with coordinates [x, y, z, w].

Show that the vector subspaces spanned by the lists of vectors S1 and S2 are the same.

Show that the subspaces of differential forms spanned by the lists of 2-forms S3 and S4 are not the same.

Example 2.

First initialize manifolds M and N with coordinates [x, y] and [u, v].

Show that the transformations Phi1 and Phi2 are the same.

Show that the transformations Phi3 and Phi4 are not the same without assuming that x > 0.

Example 3.

Define  two Lie algebras data structures. Check that they are equal.

Example 4.

Define two representations of a Lie algebra and test for equality. First define the Lie algebra.

Define the representation space V.

Make a change of basis in the representation space.

The representations rho1 and rho2 are equivalent but they are not equal.

DifferentialGeometry, Tools, LieAlgebras, LieAlgebraData Representation, Transformation