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Enumerating m-clusters using exceptional sequences (2402.12494v1)

Published 19 Feb 2024 in math.RT and math.CO

Abstract: We give a bijection between ordered $m$-clusters and (complete) $m$-exceptional sequences, a concept that we introduce for this purpose. This holds for all hereditary artin algebras. This extends the bijection in the $m = 1$ case shown in arXiv:1706.02041.

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