# LieElement - LieElement -- subtraction of Lie elements

## Synopsis

• Operator: -
• 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 difference of $x$ and $y$

## Description

The symbol - is used as infix notation for the Lie subtraction. The elements $x$ and $y$ must hade the same weight and sign.

 i1 : L = lieAlgebra{a,b} o1 = L o1 : LieAlgebra i2 : b b b a - a a a b o2 = (a a b a) + (b b b a) o2 : L