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pro vyhledávání: '"Alves, Marcelo Muniz S"'
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
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
In this work, the notion of partial representation of a Hopf algebra is introduced and its relationship with partial actions of Hopf algebras is explored. Given a Hopf algebra $H$, one can associate it to a Hopf algebroid $H_{par}$ which has the univ
Externí odkaz:
http://arxiv.org/abs/1309.1659
In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for twisted partial group actions, partial Hopf actions and twisted actions of Hopf algebras. The conditions on partial cocycles are established in order to
Externí odkaz:
http://arxiv.org/abs/1111.1281
Autor:
Alves, Marcelo Muniz S.
In this note, we present an analogue for codes in vector spaces with a Rosenbloom-Tsfasman metric of the well-known standard form of generator matrices for codes in spaces with the Hamming metric.
Externí odkaz:
http://arxiv.org/abs/1105.2361
Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to prove the existence of enveloping actions, i.e., every partial Hopf
Externí odkaz:
http://arxiv.org/abs/1005.2647
Let V be an n-dimensional vector space over a finite field F_q. We consider on V the $\pi$-metric recently introduced by K. Feng, L. Xu and F. J. Hickernell. In this short note we give a complete description of the group of symmetries of V under the
Externí odkaz:
http://arxiv.org/abs/0901.1043
Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to assure the existence of enveloping actions. This allows to extend s
Externí odkaz:
http://arxiv.org/abs/0901.0959
Motivated by partial group actions on unital algebras, in this article we extend many results obtained by Exel and Dokuchaev to the context of partial actions of Hopf algebras, according to Caenepeel and Jansen. First, we generalize the theorem about
Externí odkaz:
http://arxiv.org/abs/0805.4805