LieAlgebraMap + LieAlgebraMap -- addition of Lie homomorphisms

• Operator: +

• Usage:

  u = f + g

• Inputs:
  • f, an instance of the type LieAlgebraMap,
  • g, an instance of the type LieAlgebraMap,
• Outputs:
  • u, an instance of the type LieAlgebraMap, the sum of $f$ and $g$

i1 : M = lieAlgebra{a,b}

o1 = M

o1 : LieAlgebra

i2 : L = lieAlgebra{a,b}

o2 = L

o2 : LieAlgebra

i3 : f = map(L,M,{a,b})

o3 = f

o3 : LieAlgebraMap

i4 : g = map(L,M,{b,a})

o4 = g

o4 : LieAlgebraMap

i5 : describe(f+g)

o5 = a => a + b
     b => a + b
     source => M
     target => L