79 citations · 163 across the 27 of their papers we have counts for
27 papers
Three-vertex prime graphs and reality of trees
Adriano Moura, Clayton Silva
We continue the study of prime simple modules for quantum affine algebras from the perspective of -fatorization graphs. In this paper we establish several properties related to…
On the primality of totally ordered -factorization graphs
Adriano Moura, Clayton Silva
We introduce the combinatorial notion of a -fatorization graph intended as a tool to study and express results related to the classification of prime simple modules for quantum…
Non-Minimality of Certain Irregular Coherent Preminimal Affinizations
Adriano Moura, Fernanda Pereira
Let be a finite-dimensional simple Lie algebra of type or and be a dominant integral weight whose support bounds the subdiagram of type . We study ce…
On Truncated Weyl Modules
Ghislain Fourier, Victor Martins, Adriano Moura
We study structural properties of truncated Weyl modules. A truncated Weyl module is a local Weyl module for $\mathfrak g[t]_N = \mathfrak g \otimes \frac{\mathbb C[t]}{t^…
Limits of Multiplicities in Excellent Filtrations and Tensor Product Decompositions for Affine Kac-Moody Algebras
Dijana Jakelić, Adriano Moura
We express the multiplicities of the irreducible summands of certain tensor products of irreducible integrable modules for an affine Kac-Moody algebra over a simply laced Lie algeb…
On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A
Adriano Moura, Fernanda Pereira
For a quantum affine algebra of type A, we describe the composition series of the tensor product of a general minimal affinization with a Kirillov-Resehtikhin module associated to…