Symmetric Brace Algebras
Quantum Algebra
2007-05-23 v3
Abstract
We develop a symmetric analog of brace algebras and discuss the relation of such algebras to -algebras. We give an alternate proof that the category of symmetric brace algebras is isomorphic to the category of pre-Lie algebras. As an application, symmetric braces are used to describe transfers of strongly homotopy structures. We then explain how these symmetric brace algebras may be used to examine the -algebras that result from a particular gauge theory for massless particles of high spin.
Cite
@article{arxiv.math/0307054,
title = {Symmetric Brace Algebras},
author = {Tom Lada and Martin Markl},
journal= {arXiv preprint arXiv:math/0307054},
year = {2007}
}
Comments
19 pages; two new sections added: "Equivalence between symmetric brace algebras and pre-Lie algebras" and "Transfers of strongly homotopy structures"