computeLie -- computes everything that is needed for a Lie algebra up to a given degree

Synopsis

• Usage:

  l = computeLie(d)

• Inputs:

  • d, an integer, the degree
• Outputs:

  • l, a list, the list of dimensions of the graded pieces of the Lie Algebra in degree i, where i ranges from 1 to d.

Description

i1 : L=lieAlgebra({a,b,c},{[a,a,b],[a,c]}, genWeights=>{1,1,2})

o1 = L

o1 : LieAlgebra

i2 : computeLie 3

o2 = {2, 2, 2}

o2 : List

i3 : basisLie 3

o3 = {[b, b, a], [b, c]}

o3 : List

i4 : L.compdeg

o4 = 3

i5 : basisLie 4

o5 = {[b, b, b, a], [a, b, c], [b, b, c]}

o5 : List

i6 : L.compdeg

o6 = 4

See also

• useLie -- changes the current Lie algebra and its mbRing
• dimsLie -- the dimensions of a Lie algebra
• compdeg -- the maximal computed degree of the Lie algebra