Integer sequences arising from Auslander–Reiten quivers of some hereditary artin algebras

DOI10.1142/S0219498821500511zbMath1469.11045OpenAlexW2999680697MaRDI QIDQ4988241

Agustín Moreno Cañadas, Gabriel Bravo Rios, Hernán Giraldo

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500511

zbMATH Keywords

posetlattice pathAuslander-Reiten quiversectioncategorificationDynkin algebraDynkin functionA000295A083329integer sequences A049611

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of orders, lattices, algebras over commutative rings (16G30) Combinatorics of partially ordered sets (06A07) Counting solutions of Diophantine equations (11D45) Representations of quivers and partially ordered sets (16G20) Special sequences and polynomials (11B83)

Uses Software

• OEIS

Cites Work

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• Enriched \(P\)-partitions and peak algebras
• CATEGORIFICATION OF SOME INTEGER SEQUENCES VIA KRONECKER MODULES
• ON THE NUMBER OF SECTIONS IN THE AUSLANDER-REITEN QUIVER OF ALGEBRAS OF DYNKIN TYPE
• Categorification of the Fibonacci numbers using representations of quivers
• Ordered structures and partitions
• Enriched 𝑃-Partitions

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