activity
20022026
most citedKac-Moody groups and cluster algebras

177 citations · 1.4k across the 38 of their papers we have counts for

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Showing 2011Show all

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math.RA2011

Factorial cluster algebras

Christof Geiß, Bernard Leclerc, Jan Schröer

We show that cluster algebras do not contain non-trivial units and that all cluster variables are irreducible elements. Both statements follow from Fomin and Zelevinsky's Laurent p…

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…