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

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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.

fields

math.RT 1

years

2026 1

verdicts

unreviewed 1

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