Vol. 3, No. 6, 2009

Download this article
Download this article For screen
For printing
Recent Issues

Volume 11, 1 issue

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
Editorial Board
Editors' Addresses
Editors' Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
A rooted-trees $q$-series lifting a one-parameter family of Lie idempotents

Frédéric Chapoton

Vol. 3 (2009), No. 6, 611–636

We define and study a series indexed by rooted trees and with coefficients in (q). We show that it is related to a family of Lie idempotents. We prove that this series is a q-deformation of a more classical series and that some of its coefficients are Carlitz q-Bernoulli numbers.

tree series, operads, Lie idempotents, Bernoulli–Carlitz numbers
Mathematical Subject Classification 2000
Primary: 18D50
Secondary: 17D25, 05C05
Received: 2 September 2008
Revised: 9 July 2009
Accepted: 16 August 2009
Published: 20 November 2009
Frédéric Chapoton
Institut Camille Jordan
Université Claude Bernard Lyon 1
21 Avenue Claude Bernard
69622 Villeurbanne