Derived bracket construction up to homotopy and Schroder numbers
Quantum Algebra
2013-01-01 v9
Abstract
We will introduce the notion of higher derived bracket construction in the category of operads and prove that the higher derived bracket construction of Lie operad is equivalent to the cobar construction of Leibniz operad. The theorem is proved by computing Schroder number.
Keywords
Cite
@article{arxiv.1202.0095,
title = {Derived bracket construction up to homotopy and Schroder numbers},
author = {K. Uchino},
journal= {arXiv preprint arXiv:1202.0095},
year = {2013}
}
Comments
Version 9, page 20, three figs, one table