Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772821 | Journal of Pure and Applied Algebra | 2017 | 23 Pages |
Abstract
Given a structure of pre-commutative (Zinbiel) and pre-Lie algebra and working over the corresponding Koszul dual operads, we will give an explicit construction of the associated pre-Gerstenhaber algebra up to homotopy: it is a bicogebra (Leibniz and permutative) equipped with a codifferential which is a coderivation for the two coproducts.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Walid Aloulou, Didier Arnal, Ridha Chatbouri,