Seminario: Monadic Decomposition and Symmetric Categories

Martedì 10 Dicembre 2013, ore 16:15 - Aula 1BC45 - Claudia Menini


Martedì 10 Dicembre 2013 alle ore 16:15, in Aula 1BC45, Claudia Menini (Ferrara), terrà un seminario dal titolo "Monadic Decomposition and Symmetric Categories".

We work on an abelian monoidal category with denumerable coproducts with tensor functors which are exact and preserve denumerable coproducts. We study the monadic decomposition of the funtor P which assignes to every braided symmetric bialgebra in the category its primitive part. We investigate the relations between this decomposition and the functor which assignes to every braided symmetric Lie algebra in the category its enveloping bialgebra. In this setting we introduce the concept of MM(Milnor-Moore)-category. The case when the category is braided and symmetric is also considered. Finally we will discuss a method for obtaining MM-categories from known ones and apply this method to get specific examples.
This is a part of a joint research with A. Ardizzoni.