Vertex Coalgebras, Coassociator, and Cocommutator Formulas. (2nd March 2014)

• Record Type: Journal Article
• Authors: Orosz Hunziker, Florencia; Liberati, José I.
• Other Names: Cegarra Antonio M. Academic Editor.
• Is Part Of: Algebra. Volume 2014(2014)
• Publication Date: 2014-03-02
• Subjects: Algebra -- Periodicals; Algebra; Electronic journals; Periodicals; 512.005
• DOI: 10.1155/2014/861768
• Languages: English
• ISSNs: 2314-4106

Abstract

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.