Partial smash products and its cohomology

REDONDO, MARIA JULIA; RIBEIRO ALVARES, EDSON; MUNIZ ALVES, MARCELO

Montreal

Congreso; Sesión de Representaciones de Algebras del MCA Mathematical Congress of the Americas; 2017

We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial augmentation ideal and we show that there exists a Grothendieck spectral sequence relating cohomology of partial smash products with partial group cohomology and algebra cohomology.