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GradedLieAlgebras :: subalgLie

subalgLie -- computes the dimensions of a Lie subalgebra up to a specified degree

Synopsis

Description

When the first argument is an integer, then the dimensions up to that degree are given. When the first argument is a list, then the dimension in that specific multidegree is given. Observe that if the Lie algebra has no differential, then an extra homological degree=0 is added to the given weights of the generators.

i1 : L = lieAlgebra({a,b,c},{},genSigns=>{1,0,1},genWeights=>{{1,0},{1,2},{1,0}})

o1 = L

o1 : LieAlgebra
i2 : subalgLie(4,{[a],[b,c]})

o2 = {1, 2, 1, 2}

o2 : List
i3 : subalgLie({4,4,0},{[a],[b,c]})

o3 = 1

See also

Ways to use subalgLie :