member(LieElement,LieSubSpace) -- whether a Lie element belongs to a Lie subspace

Synopsis

• Function: member

• Usage:

  b=member(x,S)

• Inputs:
  • x, an instance of the type LieElement
  • S, an instance of the type LieSubSpace, an instance of type LieSubSpace
• Outputs:
  • b, a Boolean value, true if $x$ belongs to $S$ and false otherwise

Description

i1 : L=lieAlgebra{a,b,c}/{a a b-c c b,b b a-b b c}

o1 = L

o1 : LieAlgebra

i2 : I=lieIdeal{a}

o2 = I

o2 : FGLieIdeal

i3 : S=lieSubAlgebra{b,c}

o3 = S

o3 : FGLieSubAlgebra

i4 : member(b b c,I)

o4 = true

i5 : member(a b b c,S)

o5 = true

See also

• LieSubSpace -- the class of all Lie subspaces
• inverse(LieAlgebraMap,LieSubSpace) -- make the inverse image of a Lie subspace under a Lie algebra map