calculates the nilpotency class of the nilpotent Lie algebra L.
  • The Lie algebra L can be given either from its structure constants or from its infinitesimal generator representation.
  • NilpotencyClass will that the supplied Lie algebra is nillpotent and will return Null otherwise.
  • Nilpotency class of a nilpotent Lie Algebra L is the smallest number     c such that Lc≠0 but Lc+1=0. Where Li+1=[L, Li], i>1 and L1=L.