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math.RT2025
Reality determining subgraphs and strongly real modules
Matheus Brito, Adriano Moura, Clayton Silva
The concept of pseudo q-factorization graphs was recently introduced by the last two authors as a combinatorial language which is suited for capturing certain properties of Drinfel…
math.RT2025
Imaginary modules arising from tensor products of snake modules
Matheus Brito, Adriano Moura
Motivated by the limitations of cluster algebra techniques in detecting imaginary modules, we build on the representation-theoretic framework developed by the first author and Char…
math.RT2024
Totally ordered pseudo q-factorization graphs and prime factorization
Matheus Brito, Adriano Moura, Clayton Silva
In an earlier publication, the last two authors showed that a finite-dimensional module for a quantum affine algebra of type whose -factorization graph is totally ordered is…