Conformal bialgebras and conformal CYBE

LIBERATI, JOSE

Madrid, España

Congreso; International Congress of Mathematicians, Madrid; 2006

We study conformal algebras from the point of view of conformal dual of classical Lie coalgebra structures. We define the notion of Lie conformal bialgebra and we obtain a conformal version of the CYBE. With the notion of vertex dual, we obtain a natural description of the Lie algebra associated to a conformal algebra as a convolution algebra. The results are then extended to the language of Hpseudoalgebras (see [1]). [1] B. Bakalov, A. D’Andrea and V. G. Kac, Theory of finite pseudoalgebras, Adv. Math.Adv. Math. 162 (2001), 1–140.(2001), 1–140.