monomials(LieElement) -- get the monomials of a Lie element

Synopsis

• Function: monomials

• Usage:

  c = monomials(x)

• Inputs:
  • x, an instance of the type LieElement, $x$ is of type $L$, where $L$ is of type LieAlgebra
• Optional inputs:
  • Variables => ..., default value null,
• Outputs:
  • c, a list, the list of monomials in $x$

Description

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

o1 = L

o1 : LieAlgebra

i2 : x = a b c - 3 c b a +(1/3) b a c

o2 =  - (4/3)(b c a) - 2 (c b a)

o2 : L

i3 : monomials x

o3 = {(b c a), (c b a)}

o3 : List

i4 : y = a@b@c/3@c@b@a++(1/3)@b@a@c

o4 = (a b c) - 3 (c b a) + (1/3)(b a c)

o4 : L

i5 : monomials y

o5 = {(a b c), (c b a), (b a c)}

o5 : List

See also

• coefficients(LieElement) -- get the coefficients and monomials of a Lie element
• indexForm -- get a Lie element in the polynomial ring representation
• LieElement @ LieElement -- formal multiplication of Lie elements