Some Problems Arising from Partition Poset Homology
Sheila Sundaram
TL;DR
This paper discusses open problems in the homology representations of subposets within the partition lattice, building on earlier questions posed by Stanley regarding group actions on posets.
Contribution
It introduces new open problems related to partition poset homology and extends previous work by Stanley on group actions on posets.
Findings
Identification of unresolved questions in partition lattice homology
Connections to Stanley's earlier work on group actions
Foundation for future research in poset homology
Abstract
We describe some open problems related to homology representations of subposets of the partition lattice, beginning with questions first raised in Stanley's work on group actions on posets.
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