1 citations · 3 across the 10 of their papers we have counts for
10 papers
Monoidal categorification from alternating snakes
Matheus Brito, Vyjayanthi Chari
In a recent paper, the authors introduced the notion of an alternating snake and a corresponding family of finite dimensional modules for the quantum affine algebra associated to $…
On dominant --weights and maps between Weyl modules for quantum affine
Matheus Brito, Vyjayanthi Chari
We determine the set of dominant --weights in the Weyl (or standard) modules for quantum affine . We then prove that the space of homomorphisms between standard modules…
Alternating snake modules and a determinantal formula
Matheus Brito, Vyjayanthi Chari
We introduce a family of modules for the quantum affine algebra which include as very special cases both the snake modules and the modules arising from a monoidal categorification…
On the Quantum Metaplectic Howe Duality
Matheus Brito, Marcelo De Martino
We establish a quantum analogue of the classical metaplectic Howe duality involving the pair of Lie algebras in the case when . Our resu…
Higher order Kirillov-Reshetikhin modules, Imaginary modules and Monoidal Categorification for
Matheus Brito, Vyjayanthi Chari
We study the family of irreducible modules for quantum affine $\lie{sl}_{n+1}$ whose Drinfeld polynomials are supported on just one node of the Dynkin diagram. We identify all the…
Quantum affine algebras, graded limits, and flags
Matheus Brito, Vyjayanthi Chari, Deniz Kus +1
In this survey, we review some of the recent connections between the representation theory of (untwisted) quantum affine algebras and the representation theory of current algebras.…
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…
Resolutions and a Weyl Character formula for prime representations of quantum affine sl_{n+1}
Matheus Brito, Vyjayanthi Chari
In this paper we study the family of prime irreducible representations of quantum affine $\lie{sl}_{n+1}$ which arise from the work of D. Hernandez and B. Leclerc. These representa…
Demazure modules of level two and prime representations of quantum affine
Matheus Brito, Vyjayanthi Chari, Adriano Moura
We study the classical limit of a family of irreducible representations of the quantum affine algebra associated to . After a suitable twist, the limit is a mo…
Graded limits of simple tensor product of Kirillov-Reshetikhin modules for
Matheus Brito, Fernanda Pereira
We study the graded limits of simple -modules which are isomorphic to tensor products of Kirillov-Reshetikhin modules associated to a fix fundamen…