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Subsections
Zero(L) : AlgMatLie -> AlgMatLieElt
L ! 0 : AlgLie, RngIntElt -> AlgLieElt
L ! 0 : AlgMatLie, RngIntElt -> AlgMatLieElt
Create the zero element of the Lie algebra L.
Random(L) : AlgMatLie -> AlgMatLieElt
Given an Lie algebra L defined over a finite ring,
return a random element.
Given a Lie algebra L of dimension n over a ring R,
and ring elements r1, r2, ..., rn ∈R
construct the element r1 * e1 + r2 * e2 + ... + rn * en of L.
Given a Lie algebra L of dimension n and a sequence
Q = [r1, r2, ..., rn] of elements of the base ring R of L,
construct the element r1 * e1 + r2 * e2 + ... + rn * en of L.
Return the product of the i-th and j-th basis element of the Lie algebra L.
Return the products of all basis elements of the Lie algebra L as a sequence Q of n
sequences of n elements of L, where n is the dimension of L.
The element Q[i][j] is the product of the i-th and j-th basis elements.
Matrix Lie elements can be constructed using the functions below. For more
information on constructing matrices see Section Construction of a Matrix.
DiagonalMatrix(L, Q) : AlgMatLie, [RngElt] -> AlgMatLieElt
ScalarMatrix(L, r) : AlgMatLie, RngElt -> AlgMatLieElt
Diagonal respectively scalar matrix in the Lie algebra L,
given by the sequence Q of ring elements or the ring element r.
elt<R | L> : AlgMatLie, RngElt, ..., RngElt -> AlgMatLieElt
R ! L : AlgMatLie, [RngElt] -> AlgMatLieElt
Create the element of the matrix Lie algebra R of degree n
whose entries are the n2 elements of the sequence L.
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