9 citations · 30 across the 13 of their papers we have counts for
14 papers
Representations of the Lie superalgebra of superderivations of the Grassmann algebra at infinity
Lucas Calixto, Crystal Hoyt
The Lie superalgebra is defined to be the direct limit of the simple finite-dimensional Cartan type Lie superalgebras as goes to infinity, where denot…
Representations of affine Lie superalgebras and their quantization in type A
Luan Pereira Bezerra, Lucas Calixto, Vyacheslav Futorny +1
We construct a new family of irreducible modules over any basic classical affine Kac-Moody Lie superalgebra which are induced from modules over the Heisenberg subalgebra. We also o…
Finite-dimensional representations of map superalgebras
Lucas Calixto, Tiago Macedo
We obtain a complete classification of all finite-dimensional irreducible modules over classical map superalgebras, provide formulas for their (super)characters and a description o…
Harish-Chandra modules for map and affine Lie superalgebras
Lucas Calixto, Vyacheslav Futorny, Henrique Rocha
We obtain a classification of simple modules with finite weight multiplicities over basic classical map superalgebras. Any such module is parabolic induced from a simple cuspidal b…
Integrable bounded weight modules of classical Lie superalgebras at infinity
Lucas Calixto, Ivan Penkov
We classify integrable bounded simple weight modules over classical Lie superalgebras at infinity. We also study the categories of such modules, and we prove that for most of the c…
Local Weyl modules and fusion products for the current superalgebra
Matheus Brito, Lucas Calixto, Tiago Macedo
We study a class of modules, called Chari-Venkatesh modules, for the current superalgebra . This class contains other important modules, such as graded local…
Non-standard Verma type modules for
Lucas Calixto, Vyacheslav Futorny
We study non-standard Verma type modules over the Kac-Moody queer Lie superalgebra . We give a sufficient condition under which such modules are irreducible.…
Annihilators of simple integrable weight -modules
Lucas Calixto
Let . We compute the annihilators of a class of simple integrable weight -modules with finite-dimensional weight spaces. It is a c…
On the structure of simple bounded weight modules of , ,
Lucas Calixto
We study the structure of bounded simple weight -, -, -modules, which have been recently classified in [6]. Give…
Highest weight modules for affine Lie superalgebras
Lucas Calixto, Vyacheslav Futorny
We describe Borel and parabolic subalgebras of affine Lie superalgebras and study the Verma type modules associated to such subalgebras. We give necessary and sufficient conditions…
Weyl modules and Weyl functors for Lie superalgebras
Irfan Bagci, Lucas Calixto, Tiago Macedo
Given an algebraically closed field of characteristic zero, a Lie superalgebra over and an associative, commutative -algebra with unit, a…
Irreducible modules for equivariant map superalgebras and their extensions
Lucas Calixto, Tiago Macedo
Let be a group acting on a scheme and on a Lie superalgebra , both defined over an algebraically closed field of characteristic zero . The correspondin…
Weyl modules for Lie superalgebras
Lucas Calixto, Joel Lemay, Alistair Savage
We define global and local Weyl modules for Lie superalgebras of the form , where is an associative commutative unital -algebra and $\mathfr…
Equivariant map queer Lie superalgebras
Lucas Calixto, Adriano Moura, Alistair Savage
An equivariant map queer Lie superalgebra is the Lie superalgebra of regular maps from an algebraic variety (or scheme) to a queer Lie superalgebra that are equi…