indexFormLie -- returns an element in the ring representation corresponding to the input

Synopsis

Usage:
r=indexFormLie(a)
Inputs:
- a, an integer, a generator
- a, an indexed variable, a generator
- a, a symbol, a generator
- a, an array, a monomialLie
- a, a list, a generalExpressionLie or a list of such elements
Outputs:
- r, a ring element, the element in L.cache.mbRing corresponding to the input.

Description

The output of indexFormLie uses basis elements for the Lie algebra which are indexed variables with two indices, the first degree and a number, see mbRing and How to write Lie elements.

i1 : L = lieAlgebra( {a,b}, {})

o1 = L

o1 : LieAlgebra

i2 : b3=basisLie 3

o2 = {[a, b, a], [b, b, a]}

o2 : List

i3 : indexFormLie b3_0

o3 = mb
       {3, 0}

o3 : QQ[mb      , mb      , mb      , mb      , mb      ]
          {1, 0}    {1, 1}    {2, 0}    {3, 0}    {3, 1}

i4 : defLie oo

o4 = [a, b, a]

o4 : Array

i5 : indexFormLie([b,a,b])

o5 = -mb
        {3, 1}

o5 : QQ[mb      , mb      , mb      , mb      , mb      ]
          {1, 0}    {1, 1}    {2, 0}    {3, 0}    {3, 1}

i6 : defLie oo

o6 = {{-1}, {[b, b, a]}}

o6 : List

i7 : indexFormLie{oo,[a],[a,b]}

o7 = {-mb      , mb      , -mb      }
         {3, 1}    {1, 0}     {2, 0}

o7 : List

Ways to use `indexFormLie` :

indexFormLie(Array)
indexFormLie(IndexedVariable)
indexFormLie(List)
indexFormLie(Symbol)
indexFormLie(ZZ)

indexFormLie -- returns an element in the ring representation corresponding to the input

Synopsis

Description

See also

Ways to use indexFormLie :

Ways to use `indexFormLie` :