STNB2026 (39a edició)
Hopf algebras and their actions on modules
Ponents
Resum
We start by an introduction to the theory of Hopf algebras over rings that will be eventually needed in Hopf-Galois theory. A Hopf algebra is a module that is a bialgebra (it admits compatible structures of algebra and coalgebra) and is equipped with a coinverse map or antipode. The prototypical example of Hopf algebra is the one of a group algebra, consisting in the linear combinations of elements of a group with scalars in a ring. We shall see the notion of duality in the theory of modules and we will study the dual of a Hopf algebra. In addition, we shall study the notion of module and comodule algebras over Hopf algebras, which is the setting where Hopf-Galois extensions will be defined.
Fitxers
No hi ha fitxers per descarregar
Compte
Llengües: