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

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dc.creatorChapoton, Frédéric
dc.date2008-07-11
dc.date.accessioned2026-07-07T09:49:50Z
dc.date.available2026-07-07T09:49:50Z
dc.descriptionWe 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.
dc.description19 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0807.1830
dc.identifierhttp://arxiv.org/abs/0807.1830
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164736
dc.subjectQuantum Algebra
dc.subject05C05, 17D25, 17D
dc.titleA rooted-trees q-series lifting a one-parameter family of Lie idempotents
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