On derived equivalences for categories of generalized intervals of a finite poset

Baptiste Rognerud; Frederic Chapoton (IRMA); Sefi Ladkani

On derived equivalences for categories of generalized intervals of a finite poset

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1801.05154 v1 pith:KII44UBG submitted 2018-01-16 math.CO math.RT

Frederic Chapoton (IRMA) , Sefi Ladkani , Baptiste Rognerud This is my paper · ORCID

classification math.COmath.RT

keywords posetcategoriesconstructionsderivedfiniteintervalscomplicatedequivalences

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We study two constructions related to the intervals of finite posets. The first one is a poset. The second one is more complicated. Loosely speaking it can be seen as a poset with some extra zero-relations. As main result, we show that these two constructions are equivalent at the level of derived categories.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Relative Interval Tilting, Higher Auslander Staircase Corners and Rational Dyck Posets
math.RT 2026-08 conditional novelty 8.0 of 10

For coprime positive a,b, the derived category of the product of a type-A path algebra with the rational Dyck poset is equivalent to the derived category of the full path lattice, proving the CLR conjecture.

Pith tools