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arxiv: 1307.5235 · v1 · pith:HTM6HMGOnew · submitted 2013-07-19 · 🧮 math.DG · math.AP· math.GR· math.MG· math.OC

Extremal polynomials in stratified groups

Enrico Le Donne , Gian Paolo Leonardi , Roberto Monti , Davide Vittone This is my paper
classification 🧮 math.DG math.APmath.GRmath.MGmath.OC
keywords polynomialsstratifiedextremalgroupsnilpotentabnormaladjointalgebra
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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.

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