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arXiv · 1612.05750

The derived category of an algebra with radical square zero

Dong Yang
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Abstract

Koszul duality and covering theory are combined to realise the bounded derived category D of an algebra with radical square zero as a certain orbit category of the bounded derived category of finitely presented representations of an associated infinite quiver. As a consequence, the possible shapes of the connected components of the Auslander--Reiten quiver of D are described.

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Dong Yang. 2017-10-24. The derived category of an algebra with radical square zero. https://arxiv.org/abs/1612.05750

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