INVESTIGADORES
LIBERATI Jose Ignacio
artículos
Título:
On conformal bialgebras
Autor/es:
LIBERATI, JOSE I.
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2008 vol. 319 p. 2295 - 2318
ISSN:
0021-8693
Resumen:
We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structures. We define the notions of Lie conformal coalgebra and bialgebra. We obtain a conformal analog of the CYBE, the Manin triples and Drinfeld's double. With the definition of vertex duals, we obtain a natural description of the Lie algebra associated to a conformal algebra as a convolution algebra, clarifying the classical constructions in the theory of conformal algebras and vertex algebras.