Table of Contents
Algebra
Volume 2014, Article ID 861768, 17 pages
http://dx.doi.org/10.1155/2014/861768
Research Article

Vertex Coalgebras, Coassociator, and Cocommutator Formulas

Ciem-FAMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina

Received 23 September 2013; Accepted 15 December 2013; Published 2 March 2014

Academic Editor: Antonio M. Cegarra

Copyright © 2014 Florencia Orosz Hunziker and José I. Liberati. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on the definition of vertex coalgebra introduced by Hubbard, 2009, we prove that this notion can be reformulated using coskew symmetry, coassociator and cocommutator formulas without restrictions on the grading. We also prove that a vertex coalgebra can be defined in terms of dual versions of the axioms of Lie conformal algebra and differential algebra.