Symmetric Brace Algebras

We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L-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 L-algebras that result from a particular gauge theory for massless particles of high spin.

• Type: Journal
• Year: 2005
• Where: ACS
• Authors: Tom Lada, Martin Markl
• Keywords: ACS 2005, ACS 2007, Brace Algebras, Symmetric Brace, Symmetric Brace Algebras