A master identity for homotopy Gerstenhaber algebras
q-alg
2007-05-23 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
We produce a master identity {m}{m}=0 for homotopy Gerstenhaber algebras, as defined by Getzler and Jones and utilized by Kimura, Voronov, and Zuckerman in the context of topological conformal field theories. To this end, we introduce the notion of a "partitioned multilinear map" and explain the mechanics of composing such maps. In addition, many new examples of pre-Lie algebras and homotopy Gerstenhaber algebras are given.
Keywords
Cite
@article{arxiv.q-alg/9710004,
title = {A master identity for homotopy Gerstenhaber algebras},
author = {Fusun Akman},
journal= {arXiv preprint arXiv:q-alg/9710004},
year = {2007}
}
Comments
26 pages, LaTeX three times