Exceptional Sequences and Idempotent Functions

DOI10.1216/RMJ.2021.51.1027arXiv1909.05887MaRDI QIDQ6325195

Emre Sen

Publication date: 12 September 2019

Abstract: We prove that there is a one to one correspondence between the following three sets: idempotent functions on a set of size $n$, complete exceptional sequences of linear radical square zero Nakayama algebras of rank $n$ and rooted labeled forests with $n$ nodes and height of at most one. Therefore, the number of exceptional sequences is given by the sum $$.

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of quivers and partially ordered sets (16G20)

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