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

Synopsis

• Function: degreeLength

• Usage:

  n=degreeLength(L)

• Inputs:
  • L, an instance of the type LieAlgebra
• Outputs:
  • n, an integer, the length of an arbitrary weight

Description

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

See also

• firstDegree(LieElement) -- get the degree of an element
• weight -- get the weight of a homogeneous element