basicMonomialLie -- checks if an array is a basis element for the Lie algebra

Synopsis

• Usage:

  b=basicMonomialLie(a)

• Inputs:

  • a, a thing,
• Outputs:

  • b, a Boolean value,

Description

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

o1 = L

o1 : LieAlgebra

i2 : basicMonomialLie[a,a,b]

o2 = false

i3 : basicMonomialLie[b,a,a]

o3 = true

See also

• generalExpressionLie -- checks if an expression is of right input form for e.g. relations
• basicExpressionLie -- checks if a general Lie expression is of normal form
• monomialLie -- checks if an array is a correct iterated Lie product
• normalFormLie -- returns a basic Lie expression for the Lie algebra equal to the input
• defLie -- returns a general Lie expression corresponding to input
• indexFormLie -- returns an element in the ring representation corresponding to the input