12 citations · 30 across the 25 of their papers we have counts for
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Baby bead representations
Geoffrey Powell
This paper is motivated by the study of Turchin and Willwacher's bead representations. The problem is reformulated here in terms of the Lie algebra homology of a free Lie algebra w…
Outer functors and a general operadic framework
Geoffrey Powell
For an operad in -vector spaces, the category is defined to be the category of -linear functors from the PROP associated to $\mathcal{…
On analytic contravariant functors on free groups
Geoffrey Powell
Working over a field of characteristic zero, the category of analytic contravariant functors on the category of finitely-generated free groups is shown to be equivalent to the…
Homological splitting results for modules over Leibniz algebras
Geoffrey Powell
A unified splitting result for Ext calculated in the category of modules over a Leibniz algebra is given for the case where coefficients are either both symmetric modules or both a…
The primitive filtration of the Leibniz complex
Geoffrey Powell
Pirashvili exhibited a small subcomplex of the Leibniz complex of a Leibniz algebra . The main result of this paper generaliz…
On derivations of free algebras over operads and the generalized divergence
Geoffrey Powell
For a reduced operad, a generalized divergence from the derivations of a free -algebra to a suitable trace space is constructed. In the case of the Lie o…