English

Noncommutative Symmetric Functions and Lagrange Inversion

Combinatorics 2013-02-12 v3

Abstract

We compute the noncommutative Frobenius characteristic of the natural action of the 0-Hecke algebra on parking functions, and obtain as corollaries various forms of the noncommutative Lagrange inversion formula.

Keywords

Cite

@article{arxiv.math/0512570,
  title  = {Noncommutative Symmetric Functions and Lagrange Inversion},
  author = {Jean-Christophe Novelli and Jean-Yves Thibon},
  journal= {arXiv preprint arXiv:math/0512570},
  year   = {2013}
}

Comments

22 pages, 8 figures, LaTEX