116 citations · 721 across the 70 of their papers we have counts for
22 papers · 1 filter
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…
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…
A Drinfeld-type presentation of the orthosymplectic Yangians
A. I. Molev
We use the Gauss decomposition of the generator matrix in the -matrix presentation of the Yangian for the orthosymplectic Lie superalgebra to produce its Dr…
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…