55 citations · 264 across the 53 of their papers we have counts for
4 papers · 2 filters
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…
Intrinsic brackets and the -deformation theory of bialgebras
Martin Markl
We show that there exists a Lie a bracket on the cohomology of any type of (bi)algebras over an operad or a PROP, induced by a strongly homotopy Lie structure on the defining cocha…
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…
Transferring (strongly homotopy associative) structures
Martin Markl
We give explicit formulas for transfers of -structures and related maps and homotopies in the most easy situation in which these transfers exist. One half of our formulas…