17 citations · 17 across the 4 of their papers we have counts for
4 papers · 1 filter
Lie elements in pre-Lie algebras, trees and cohomology operations
Martin Markl
We give a simple characterization of Lie elements in free pre-Lie algebras as elements of the kernel of a map between spaces of trees. We explain how this result is related to natu…
Cohomology operations and the Deligne conjecture
Martin Markl
The aim of this note, which raises more questions than it answers, is to study natural operations acting on the cohomology of various types of algebras. It contains a lot of very s…
Algebras with one operation including Poisson and other Lie-admissible algebras
Martin Markl, Elisabeth Remm
We investigate algebras with one operation. We study when these algebras form a monoidal category and analyze Koszulness and cyclicity of the corresponding operads. We also introdu…
Free Homotopy Algebras
Martin Markl
This note was originated many years ago as my reaction to questions of several people how free strongly homotopy algebras can be described and what can be said about the structure…