2018arXiv (Cornell University)Open access

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

Frédéric Chapoton, Sefi Ladkani, Baptiste Rognerud

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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.

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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.

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Available 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.

Key concepts: Partially ordered set, Mathematics, Algebra over a field, Pure mathematics, Combinatorics

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