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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…
math.QA2011★ 114 cited
Cluster structures on quantum coordinate rings
C. Geiss, B. Leclerc, J. Schröer
We show that the quantum coordinate ring of the unipotent subgroup N(w) of a symmetric Kac-Moody group G associated with a Weyl group element w has the structure of a quantum clust…