Open AccessVertex Coalgebras, Coassociator, and Cocommutator Formulas
Author(s) -
Florencia Orosz Hunziker,
José I. Liberati
Publication year - 2014
Publication title -
algebra
Language(s) - English
Resource type - Journals
eISSN - 2314-4114
pISSN - 2314-4106
DOI - 10.1155/2014/861768
Subject(s) - coalgebra , mathematics , vertex (graph theory) , lie conformal algebra , axiom , algebra over a field , pure mathematics , lie coalgebra , lie algebra , discrete mathematics , graph , geometry , adjoint representation of a lie algebra
Based on the definition of vertex coalgebra introduced by Hubbard, 2009, weprove that this notion can be reformulated using coskew symmetry, coassociator andcocommutator formulas without restrictions on the grading. We also prove that avertex coalgebra can be defined in terms of dual versions of the axioms of Lie conformalalgebra and differential algebra
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