A Hopf Algebra of Parking Functions

  • J.-C. Novelli, J.-Y. Thibon
  • Published 2003


If the moments of a probability measure on are interpreted as a specialization of complete homogeneous symmetric functions, its free cumulants are, up to sign, the corresponding specializations of a sequence of Schur positive symmetric functions (fn). We prove that (fn) is the Frobenius characteristic of the natural permutation representation of n on the… (More)