10 citations · 44 across the 10 of their papers we have counts for
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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 $…
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…
Extensions for Generalized Current Algebras
Brian D. Boe, Christopher M. Drupieski, Tiago R. Macedo +1
Given a complex semisimple Lie algebra and a commutative -algebra , let be the corresponding generalize…
On Demazure and local Weyl modules for affine hyperalgebras
Angelo Bianchi, Tiago Macedo, Adriano Moura
We establish the existence of Demazure flags for graded local Weyl modules for hyper current algebras in positive characteristic. If the underlying simple Lie algebra is simply lac…
Second cohomology for finite groups of Lie type
Brian D. Boe, Brian Bonsignore, Theresa Brons +13
Let be a simple, simply-connected algebraic group defined over . Given a power of , let be the subgroup of …