English

Sur une s\'erie en arbres \`a deux param\`etres

Quantum Algebra 2013-01-10 v1

Abstract

One defines a new tree-indexed series, with coefficients that are polynomials in x over the ring Q(q). Several special evaluations of this series are obtained, in particular when x is replaced by a q-integer. By taking a limit value when x = -1/q, one recovers the tree-indexed series Omega_q that was introduced in a previous article as a q-analog of a classical tree-indexed series Omega.

Keywords

Cite

@article{arxiv.1301.1843,
  title  = {Sur une s\'erie en arbres \`a deux param\`etres},
  author = {Frédéric Chapoton},
  journal= {arXiv preprint arXiv:1301.1843},
  year   = {2013}
}

Comments

19 pages, 3 figures