On conformal bialgebras

LIBERATI, JOSE I.

Congreso; XVI Coloquio Latinoamericano de Algebra; 2005

http://www.cmat.edu.uy/cmat/eventos/16cla/resumenes.pdf   José Liberati – On conformal algebras.   We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structure. We define the notion of Lie conformal bialgebra and we present some results and examples. With the definition of conformal and vertex linear maps, we obtain the natural notion of vertex dual that clarify several constructions in the theory of conformal algebras and vertex algebras.