Emmanuel Jerez

activity

20232026

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3 papers · 1 filter

math.RA2023

The twisted partial group algebra and (co)homology of partial crossed products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a group $G$ and a partial factor set $σ$ of $G,$ we introduce the twisted partial group algebra $κ_{p a r}^{σ} G,$ which governs the partial projective $σ$ -representations of $G$ …

math.RA2023

(Co)Homology of Partial Smash Products

Mikhailo Dokuchaev, Emmanuel Jerez

Given a cocommutative Hopf algebra $H$ over a commutative ring $K$ and a symmetric partial action of $H$ on a $K$ -algebra $A,$ we obtain a first quadrant Grothe…

math.GR2023

The category of partial group actions: quotients, (co)limits and groupoids

Emmanuel Jerez

We consider the category of partial actions, where the group and the set upon which the group acts can vary. Within this framework, we develop a theory of quotient partial actions…