Some properties of the parking function poset

zbMath1447.05026arXiv2103.14468MaRDI QIDQ5918954

Matthieu Josuat-Vergès, Lucas Randazza, Bérénice Delcroix-Oger

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14468

zbMATH Keywords

representationssymmetric groupnoncrossing partitionsparking functionsposet topology

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Combinatorics of partially ordered sets (06A07) Representation theory of lattices (06B15) Elementary theory of partitions (11P81)

Related Items (1)

Some properties of the parking function poset

Cites Work

• Parking spaces.
• Parking structures: Fuss analogs
• Geometrically constructed bases for homology of non-crossing partition lattices
• Chain enumeration and non-crossing partitions
• Conjectures on the quotient ring by diagonal invariants
• Semi-pointed partition posets and species
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)

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