9 citations · 33 across the 13 of their papers we have counts for
14 papers
On Locally Finite Derivations in Ore Extensions
R. Baltazar, A. Bianchi, M. Veloso +1
Let be an algebraically closed field of characteristic zero. We classify the locally finite derivations of arbitrary Ore extensions of , thus extending van den Es…
Integral bases for twisted multiloop algebras with diagram automorphism actions
Angelo Bianchi, Samuel Chamberlin
We construct integral forms for the universal enveloping algebras of certain twisted multiloop algebras and explicit integral bases for these integral forms.
On the tame isotropy group of a derivation
Angelo Bianchi, Adriana Freitas, Marcelo Veloso
We introduce the tame isotropy group of a derivation of a polynomial ring. We study this group for certain triangular derivations up to three variables, for simple derivations in t…
Weyl modules and Weyl functors for hyper-map algebras
Angelo Bianchi, Samuel Chamberlin
We investigate the representations of the hyperalgebras associated to the map algebras , where is any finite-dimensional complex simple…
An Integral Basis for the Universal Enveloping Algebra of the Onsager Algebra
Angelo Bianchi, Samuel Chamberlin
We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening ide…
Demazure and local Weyl modules for twisted hyper current algebras
Angelo Bianchi, Tiago Macedo
In this paper, we study local graded Weyl modules and Demazure modules for twisted hypercurrent algebras. We prove that local graded Weyl modules for a twisted hypercurrent algebra…