We give an overview of publications on partial actions and related concepts, paying main
attention to some recent developments on diverse aspects of the theory, such as partial …

EXPOSITORY PAPER Partial actions: what they are and why we care Page 1 EXPOSITORY
PAPER Partial actions: what they are and why we care Eliezer Batista Abstract We present a …

We introduce the notion of a dilation for a partial representation (that is, a partial module) of
a Hopf algebra, which in case the partial representation origins from a partial action (that is …

The aim of this paper is to prove the statement in the title. As a by-product, we obtain new
globalization results in cases never considered before, such as partial corepresentations of …

Partial (co)actions of Taft and Nichols Hopf algebras on their base fields Page 1 International
Journal of Algebra and Computation Vol. 31, No. 7 (2021) 1471–1496 c© World Scientific …

We discuss globalization for geometric partial comodules in a monoidal category with
pushouts and we provide a concrete procedure to construct it, whenever it exists. The mild …

In this paper, we introduce the concept of a λ-Hopf algebra as a Hopf algebra obtained as
the partial smash product algebra of a Hopf algebra and its base field, and show that every …

In this work, the cohomology theory for partial actions of co-commutative Hopf algebras on
commutative algebras is formulated. This theory generalizes the cohomology theory for Hopf …

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 Grothendieck spectral sequence …

Partial actions of groups on C∗-algebras and the closely related actions and coactions of
Hopf algebras have received much attention in recent decades. They arise naturally as …