# degreeLength(LieAlgebra) -- get the length of the weight of a generator

## Synopsis

• Function: degreeLength
• Usage:
n=degreeLength(L)
• Inputs:
• Outputs:
• n, an integer, the length of an arbitrary weight

## Description

Observe that the weights of the generators in a Lie algebra will have an extra component 0 if the option LastWeightHomological is false.

 i1 : L=lieAlgebra{a,b} o1 = L o1 : LieAlgebra i2 : M=lieAlgebra({a,b},Weights=>{{1,0},{2,1}},LastWeightHomological=>true) o2 = M o2 : LieAlgebra i3 : degreeLength L o3 = 2 i4 : weight\gens L o4 = {{1, 0}, {1, 0}} o4 : List i5 : degreeLength M o5 = 2