A rooted-trees q-series lifting a one-parameter family of Lie idempotents
Quantum Algebra
2008-07-14 v1
Abstract
We define and study a series indexed by rooted trees and with coefficients in Q(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.
Keywords
Cite
@article{arxiv.0807.1830,
title = {A rooted-trees q-series lifting a one-parameter family of Lie idempotents},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:0807.1830},
year = {2008}
}
Comments
19 pages, 2 figures