# Number ExtElement -- multiplication of a number and an Ext-algebra element

## Synopsis

• Operator: SPACE
• Usage:
u = a x
• Inputs:
• a, ,
• x, an instance of the type ExtElement, $x$ is of type $E$, where $E$ is of type ExtAlgebra
• Outputs:
• u, an instance of the type ExtElement, $u$ is of type $E$, the product $a*x$

## Description

The symbol SPACE is used as notation for multiplication by scalars. The scalars are of type Number if the field is QQ, otherwise the scalars are of type RingElement.

 i1 : L = lieAlgebra{a,b,c}/{a b,b c} o1 = L o1 : LieAlgebra i2 : E = extAlgebra(3,L) o2 = E o2 : ExtAlgebra i3 : (-3) (2 ext_3-ext_4) o3 = - 6ext_3 + 3ext_4 o3 : E