The module Rn underlying the Lie algebra L.
The module Rn acted on by the matrix Lie algebra L.
The space Rn acted on by the matrix Lie algebra L.
Degree(L) : AlgMatLie -> RngIntElt
The degree of the Lie algebra L.
If L is a structure constant algebra, this is just the dimension of L.
If L is a matrix Lie algebra, this is the degree of the matrices in L.
Given an element a belonging to the Lie algebra L, the dimension
of L is returned.
Eltseq(a) : AlgLieElt -> SeqEnum
The sequence of coefficients of the Lie element a.
Coordinates(M, a) : AlgMatLie, AlgMatLieElt -> SeqEnum
Let a be an element of a Lie algebra L and let M be
a subalgebra of L containing a. This function returns the coefficients
of a with respect to the basis of L.
The (Euclidean) inner product of the coefficient vectors of a and b, where
a and b are elements of some Lie algebra.
The support of the Lie algebra element a;
i.e. the set of indices of the non-zero components of a.
V2.28, 13 July 2023