info:eu-repo/semantics/article
On pseudo-bialgebras
Fecha
2012-12Registro en:
Boyallian, Carina; Liberati, Jose Ignacio; On pseudo-bialgebras; Academic Press Inc Elsevier Science; Journal of Algebra; 372; 12-2012; 1-34
0021-8693
CONICET Digital
CONICET
Autor
Boyallian, Carina
Liberati, Jose Ignacio
Resumen
We study pseudoalgebras from the point of view of pseudo-dual of classical Lie coalgebra structures. We define the notions of Lie H-coalgebra and Lie pseudo-bialgebra. We obtain the analog of the CYBE, the Manin triples and Drinfeld's double for Lie pseudo-bialgebras. We also get a natural description of the annihilation algebra associated to a pseudoalgebra as a convolution algebra, clarifying this construction in the theory of pseudoalgebras.