13 citations · 27 across the 8 of their papers we have counts for
10 papers
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 . We compute their Drinfeld double and give explicit present…
The Green ring of a restricted enveloping algebra in characteristic 2
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
Let be an algebraically closed field of characteristic and let be the unique, up to isomorphism, -dimensional simple Lie algebra over . De…
On the Drinfeld double of the restricted Jordan plane in characteristic
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
We consider the restricted Jordan plane in characteristic , a finite-dimensional Nichols algebra quotient of the Jordan plane that was introduced by Cibils, Lauve and Witherspoo…
On the Laistrygonian Nichols algebras that are domains
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
We consider a class of Nichols algebras introduced in [3] which are domains and have many favorable properties like AS-regular and st…
Groupoid Actions on Sets, Duality and a Morita Context
Saradia Della Flora, Daiana Flôres, Andrea Morgado +1
Let G and K be groupoids. We present the notion of a (G_α,K_β)-set and we prove a duality theorem in this context, which extends the duality theorem for graded algebras by groups.…
Examples of finite-dimensional pointed Hopf algebras in characteristic
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
We present new examples of finite-dimensional Nichols algebra over fields of characteristic 2 starting from braided vector spaces that are not of diagonal type, admit realizations…
On the Bosonization of the Super Jordan Plane
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
Let and be the bosonizations of the Jordan and super Jordan plane by the group algebra of a cyclic group; the algebra projects onto an algebra that can be thought o…
Representations of the super Jordan plane
Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1
It is shown that the finite-dimensional simple representations of the super Jordan plane are one-dimensional. The indecomposable representations of dimension and of …
Inner Actions of Weak Hopf Algebras
Dirceu Bagio, Daiana Flôres, Alveri Sant'Ana
Let be an associative ring and idempotent elements of . In this paper we introduce the notion of -invertibility for an element of and use it to define inner…
Duality for groupoid (co)actions
Daiana Flôres, Antonio Paques
In this paper we present Cohen-Montgomery-type duality theorems for groupoid (co)actions.