A note on cluster structure of the coordinate ring of a simple algebraic group

Published 11 Apr 2025 in math.RT and math.RA | (2504.09011v1)

Abstract: We show that the coordinate ring of a simply-connected simple algebraic group $G$ over the complex number field coincides with Berenstein--Fomin--Zelevinsky's cluster algebra and its upper cluster algebra at least when $G$ is not of type $F_4$.

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Authors (1)

Hironori Oya

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