Les pr\'e-(a,b)-alg\`ebres \`a homotopie pr\`es
Quantum Algebra
2012-06-26 v1
Abstract
We study in this article the concept of algebra up to homotopy for a structure defined by two operations . Important examples of such structure are those of pre-Gerstenhaber and pre-Poisson algebras. Given a structure of pre-commutative and pre-Lie algebra for two shifts of degree given by a and b, we define the structure of a pre-(a, b)-algebra and we give an explicit construction of the associated algebra up to homotopy.
Cite
@article{arxiv.1206.5434,
title = {Les pr\'e-(a,b)-alg\`ebres \`a homotopie pr\`es},
author = {Walid Aloulou},
journal= {arXiv preprint arXiv:1206.5434},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1206.4335