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7 papers
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…
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…
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…
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…
Invariant polynomials on truncated multicurrent algebras
Tiago Macedo, Alistair Savage
We construct invariant polynomials on truncated multicurrent algebras, which are Lie algebras of the form , where $…
Automorphisms of Ideals of Polynomial Rings
Tiago Macedo, Thiago Castilho de Mello
Let be a commutative integral domain with unit, be a nonconstant monic polynomial in , and be the ideal generated by . In this paper we study th…