Noncommutative symmetric functions and Lagrange inversion

@article{Novelli2008NoncommutativeSF,
  title={Noncommutative symmetric functions and Lagrange inversion},
  author={Jean-Christophe Novelli and Jean-Yves Thibon},
  journal={Adv. Appl. Math.},
  year={2008},
  volume={40},
  pages={8-35}
}
We compute the non-commutative Frobenius characteristic of the natural action of the 0-Hecke algebra on parking functions, and obtain as corollaries various forms of the non-commutative Lagrange inversion formula. 
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Lagrange inversion
  • I. Gessel
  • Computer Science, Mathematics
  • J. Comb. Theory, Ser. A
  • 2016
We give a survey of the Lagrange inversion formula, including different versions and proofs, with applications to combinatorial and formal power series identities.
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