Enumerating m-clusters using exceptional sequences

Kiyoshi Igusa

Enumerating m-clusters using exceptional sequences

Representation Theory 2024-02-21 v1 Combinatorics

Authors: Kiyoshi Igusa

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.

Keywords

bijective combinatorics exceptional sequences integer sequences and recurrences

Cite

@article{arxiv.2402.12494,
  title  = {Enumerating m-clusters using exceptional sequences},
  author = {Kiyoshi Igusa},
  journal= {arXiv preprint arXiv:2402.12494},
  year   = {2024}
}

Comments

18 pages, no figures, presented at Workshop on Cluster Algebras and Related Topics at the Chern Institute at Nankai University in July, 2017

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