permopLie -- the result of a permutation operating on a general Lie expression

Synopsis

• Usage:

  y=permopLie(p,x)

• Inputs:

  • p, a list, a permutation of the generators as a list of cycles
  • x, a list, a generalExpressionLie
  • x, an array, a generalExpressionLie
• Outputs:

  • y, a list, a generalExpressionLie
  • y, an array, a generalExpressionLie

Description

i1 : L=holonomyLie{{0,1,2},{0,3,4},{1,3,5},{2,4,5}}

o1 = L

o1 : LieAlgebra

i2 : permopLie({{5,0},{1,2,4,3}},{{1,1},{[1,2,4],[0,5,3]}})

o2 = [4, 5, 3]

o2 : Array

i3 : normalFormLie{{1,1},{[2,4,3],[5,0,1]}}

o3 = [4, 5, 3]

o3 : Array

See also

• characterLie -- computes the trace of a Lie representation
• symmPermLie -- checks if a permutation of the generators is an automorphism
• symmCyclePermLie -- checks if a permutation of the generators in the form of cycles is an automorphism