2009/07/09 by Martin Markl, Markl, Martin, Elisabeth Remm +1 · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT
paper · pdf · doi:10.48550/arxiv.0907.1505
Substantially revised and extended version
openalex publication_date 2009/07/09 · arxiv created 2011/08/25 · arxiv updated 2011/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate operads for various n-ary algebras. As a useful tool we introduce galgalim - analogs of the Lie-hedra for n-ary algebras. We then focus to algebras with one anti-associative operation. We describe the relevant part of the deformation cohomology for this type of algebras using the minimal model for the anti-associative operad. We also discuss free partially associative algebras and formulate some open problems.