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GradedLieAlgebras :: randomLie

randomLie -- gives a random element of a lie algebra

Synopsis

Description

Below is an example of a periodic Lie algebra (a periodization of sl3) with five generators and seven random quadratic relations.

i1 : L = lieAlgebra({a,b,c,d,e}, field=>ZZ/7)

o1 = L

o1 : LieAlgebra
i2 : Q = L/apply(7,i->randomLie(2))

o2 = Q

o2 : LieAlgebra
i3 : dimsLie 8

o3 = {5, 3, 5, 3, 5, 3, 5, 3}

o3 : List
i4 : randomLie({4,0})

o4 = (-2)(d e e a) - (e e e a) + (-3)(e e e d)

o4 : Q

Ways to use randomLie :