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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 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.
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, ...
Lie - Maple Help
This routine is part of the liesymm package and is loaded via with(liesymm).
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 6: Decompositions of Lie Algebras - Maple Help
Every Lie algebra g admits a decomposition into the semi-direct sum g = r + s, where r is the radical of g and s is a semi-simple subalgebra. Such a ...
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 ...
LieBracket - Maple Help
Physics[LieBracket] - compute the Lie bracket of two vector fields using algebraic tensor notation Calling Sequence LieBracket( U, V , .
Lesson 5: Query (Lie Algebra properties) - Maple Help
A list of vectors S defines a basis for a Lie subalgebra if [x, y] in span(S) for all x, y in S. The list S is a basis for an ideal in the Lie algebra g if [x,y] ...
SimpleLieAlgebraData - Maple Help
LieAlgebras[SimpleLieAlgebraData] - obtain the structure equations for a classical matrix Lie algebra Calling Sequences SimpleLieAlgebraData ( algtype ...