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LieDerivative - Maple Help
When the expression has no free indices, the Lie derivative is equal to only the first term of the right-hand-side, and when has more than one contravariant or ...
LieDerivative - Maple Help
If T is a Maple expression, then LieDerivative(X, T) is the directional derivative X(T) of T in the direction of the vector field X. · If T is a vector field, ...
LieDerivative - Maple Help
If X is an algebraic expression then LieDerivative(X, vf) is the directional derivative vf(X) of X in the direction of the vector field vf.
Lesson 4: Lie Algebra Homomorphisms - Maple Help
Homomorphisms between Lie algebras are defined using the Transformation command. To define some Lie algebra homomorphisms, we first initialize Lie algebras Alg1 ...
Lesson 5: Query (Lie Algebra properties) - Maple Help
Check that the Jacobi identity holds. · Check if a Lie algebra is Abelian, nilpotent, solvable or semisimple. · Determine if a subspace of a Lie algebra is a ...
calculate the Lie derivative of a vector field, differential form, tensor ...
If T is a Maple expression, then LieDerivative(X, T) is the directional derivative X(T) of T in the direction of the vector field X.
Lie - Maple Help
The Lie derivative of the differential form form is constructed with respect to V1 , ... , Vn where n is the number of coordinates.
Lesson 1: Creating Lie Algebras - Maple Help
A list Gamma of independent (over the real numbers) vector fields defines a Lie algebra if for each pair of vectors X, Y in Gamma, the Lie bracket [X,Y] is a ...
Lesson 4: Lie Brackets and Lie Derivatives - Maple Help
A collection of vector fields {X1, X2, ..., Xp} define an integrable distribution if, for all i, j = 1 .. p, the Lie brackets [Xi, Xj] are linear combination of ...
LieAlgebra Lessons - Maple Help
Calculate the structure equations for the Lie algebra of all strictly upper triangular matrices. –. Calculate sl(3) ...