CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
On Pseudo algebras
Autor/es:
C. BOYALLIAN Y J. LIBERATI
Revista:
Math ArXive
Editorial:
Cornell University Library
Referencias:
Año: 2011 vol. 2011 p. 1 - 35
ISSN:
1111-1119
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 constructions in the theory of pseudoalgebras.