A rooted-trees q-series lifting a one-parameter family of Lie idempotents

Details A rooted-trees q-series lifting a one-parameter family of Lie idempotents A rooted-trees q-series lifting a one-parameter family of Lie idempotents

2008-07-11

arxiv.org/abs/0807.1830v1

Mathematics

Quantum Algebra

19 pages, 2 figures

Scientific paper

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.

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