D. Bagio

activity

20112026

most citedPartial groupoid actions: globalization, Morita theory and Galois theory

70 citations · 108 across the 21 of their papers we have counts for

collaborators

25 papers

math.QA2026

On the Drinfeld doubles of Laistrygonian algebras in positive characteristic

Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +3

In this work, we study restricted Laistrygonian algebras over a field of positive characteristic $p$ . We compute their Drinfeld double $D_{p} (q, a)$ and give explicit present…

math.QA2025

A geometric realization of liftings of Cartan type

D. Bagio, G. A. García, O. Márquez

We introduce a novel approach to compute liftings of bosonizations of Nichols algebras of diagonal braided vector spaces of Cartan type which replaces heavy computations with struc…

math.RT2025

The Green ring of a restricted enveloping algebra in characteristic 2

Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1

Let $k$ be an algebraically closed field of characteristic $2$ and let $fsl (2)$ be the unique, up to isomorphism, $3$ -dimensional simple Lie algebra over $k$ . De…

math.RA2024

Partial Hopf actions on generalized matrix algebras

Dirceu Bagio, Eliezer Batista, Hector Pinedo

Let $k$ be a field, $H$ a Hopf algebra over $k$ , and $R = (_{i} M_{j})_{1 \leq i, j \leq n}$ a generalized matrix algebra. In this work, we establish necessary and sufficient con…

math.QA2024

Liftings of Nichols algebras of type $B_{3}$

Dirceu Bagio, G. A. García, O. Márquez

We give an explicit presentation of a family of finite-dimensional pointed Hopf algebras over an algebraically closed field of characteristic zero that constitute all liftings of N…

math.RA2023

Partial actions of groups on generalized matrix rings

Dirceu Bagio, Héctor Pinedo

Let $n$ be a positive integer and $R = (M_{ij})_{1 \leq i, j \leq n}$ be a generalized matrix ring. For each $1 \leq i, j \leq n$ , let $I_{i}$ be an ideal of the ring $R_{i} := M_{ii}$ and denot…