LieElement LieElement -- multiplication of Lie elements

Synopsis

Operator: SPACE
Usage:

u=x y
Inputs:
- x, an instance of the type LieElement, $x$ is of type $L$, where $L$ is of type LieAlgebra
- y, an instance of the type LieElement, $y$ is of type $L$
Outputs:
- u, an instance of the type LieElement, $u$ is of type $L$, the Lie product of $x$ and $y$

Description

SPACE is used as infix notation for the Lie multiplication. It is right associative and hence \break b b b a is the same as (b (b (b a))), which in output is written as (b b b a) or a normal form equivalent.

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

o1 = L

o1 : LieAlgebra

i2 : b b b a

o2 = (b b b a)

o2 : L

i3 : (a b+b c) (a c)

o3 = (a c b a) - (b c c a) - (c a b a) + (c b c a)

o3 : L