Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Batista, Eliezer"'
Making the first steps towards a classification of simple partial comodules, we give a general construction for partial comodules of a Hopf algebra \(H\) using central idempotents in right coideal subalgebras and show that any \(1\)-dimensional parti
Externí odkaz:
http://arxiv.org/abs/2310.12728
In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the natural example of a quantum inverse semigroup, several other example
Externí odkaz:
http://arxiv.org/abs/2206.11999
We show that the category of partial comodules over a Hopf algebra $H$ is comonadic over ${\sf Vect}_k$ and provide an explicit construction of this comonad using topological vector spaces. The case when $H$ is finite dimensional is treated in detail
Externí odkaz:
http://arxiv.org/abs/2205.08596
Autor:
Alves, Marcelo Muniz S ., Batista, Eliezer, Castro, Felipe, Quadros, Glauber, Vercruysse, Joost
We introduce the notion of a partial corepresentation of a given Hopf algebra $H$ over a coalgebra $C$ and the closely related concept of a partial $H$-comodule. We prove that there exists a universal coalgebra $H^{par}$, associated to the original H
Externí odkaz:
http://arxiv.org/abs/1911.09141
We introduce the notion of a dilation for a partial representation (i.e. a partial module) of a Hopf algebra, which in case the partial representation origins from a partial action (i.e.a partial module algebra) coincides with the enveloping action (
Externí odkaz:
http://arxiv.org/abs/1802.03037
In this work, the cohomology theory for partial actions of co-commutative Hopf algebras over commutative algebras is formulated. This theory generalizes the cohomology theory for Hopf algebras introduced by Sweedler and the cohomology theory for part
Externí odkaz:
http://arxiv.org/abs/1709.03910
Publikováno v:
QM - Quaestiones Mathematicae; Jul2024, Vol. 47 Issue 7, p1461-1503, 43p
Akademický článek
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Autor:
Alves, Marcelo Muniz S., Batista, Eliezer, Castro, Felipe, Quadros, Glauber, Vercruysse, Joost
Publikováno v:
In Journal of Algebra 1 July 2021 577:74-135
Autor:
Batista, Eliezer
Publikováno v:
Bulletin of the Belgian Mathematical Society Simon Stevin 24 (2017) 35-71
In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.
Comment: 31 pages
Comment: 31 pages
Externí odkaz:
http://arxiv.org/abs/1604.06393