Enumerating m-clusters using exceptional sequences

Fuente: arXiv
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Autore principale: Igusa, Kiyoshi
Natura: Preprint
Pubblicazione: 2024
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author Igusa, Kiyoshi
author_facet Igusa, Kiyoshi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12494
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Enumerating m-clusters using exceptional sequences
Igusa, Kiyoshi
Representation Theory
Combinatorics
18E30:16G20
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.
title Enumerating m-clusters using exceptional sequences
topic Representation Theory
Combinatorics
18E30:16G20
url https://arxiv.org/abs/2402.12494