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arXiv:1709.03227 [math.RT]AbstractReferencesReviewsResources

The bounded derived category of a poset

Kosmas Diveris, Marju Purin, Peter Webb

Published 2017-09-11Version 1

We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived category of P to that of the subinterval. Applications include the determination of when a poset is fractionally Calabi-Yau and the computation of the Auslander-Reiten quivers of both the bounded derived category and of the module category.

Categories: math.RT, math.CO
Subjects: 16G70, 16G20, 18E30
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