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math.QA2025
Jordan-Hölder property for shifted quantum affine algebras
David Hernandez, Huafeng Zhang
We prove that finite length representations of shifted quantum affine algebras in category are stable by fusion product. This implies that in the topolo…
math.QA2024
Representations of shifted quantum affine algebras and cluster algebras I. The simply-laced case
Christof Geiss, David Hernandez, Bernard Leclerc
We introduce a family of cluster algebras of infinite rank associated with root systems of type , , . We show that suitable completions of these cluster algebras are isomo…