Extremal Polynomials in Stratified Groups

  title={Extremal Polynomials in Stratified Groups},
  author={Enrico Le Donne and Gian Paolo Leonardi and Roberto Monti and Davide Vittone},
We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.