Category: List of Bases 2006 Throughout the year RESEARCH IN MATHEMATICS

Title:

Semisimplicity of the category of relative Hopf modules

Start Time:

14:00

Location:

ICTP (Main Building Seminar Room)

Contact:

A. Bergamo

Speaker(s):

Thomas Amoussou Guedenon (ICTP)

Description:

Let k be a field, H a Hopf algebra with a bijective antipode, A an associative algebra with identity on which H coacts in such a way that A is a right H-comodule algebra. We will give sufficient conditions for the category of relative (A , H)-Hopf modules to be semisimple; i.e.,
completely reducible. We recover a result of Ida Doraiswamy on semisimplicity of the category of rational (A, G)-modules, where G is a linear connected algebraic group acting rationally on a finitely generated commutative algebra A.