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math.CO2025
Lie and pre-Lie theory of Novikov algebras
Ruggero Bandiera, Frédéric Patras
Novikov algebras provide a simple but powerful algebraic axiomatization of important features of classical diferential calculus. We study their structure properties, modeling their…
math.CO2020★ 2 cited
A closed-formula solution to the color-trace decomposition problem
Ruggero Bandiera, Carlos R. Mafra
In these notes we present a closed-formula solution to the problem of decomposing traces of Lie algebra generators into symmetrized traces and structure constants. The solution is…
math.CO2017★ 6 cited
Eulerian idempotent, pre-Lie logarithm and combinatorics of trees
Ruggero Bandiera, Florian Schaetz
The aim of this paper is to bring together the three objects in the title. Recall that, given a Lie algebra , the Eulerian idempotent is a canonical projection from t…