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arXiv · 2506.09246

Koszulity for semi-infinite highest weight categories

Thorsten Heidersdorf·Jonas Nehme·Catharina Stroppel
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Abstract

We show that any upper finite or essentially finite highest weight category where the standard objects have linear projective resolutions and the costandard objects have linear injective resolutions is Koszul. This extends the result of Agoston, Dlab, and Lukacs to the case of infinite highest weight categories. We apply this result to Khovanov algebras and representations of classical Deligne categories and show that these are Koszul.

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BibTeXRIS

Thorsten Heidersdorf, Jonas Nehme, Catharina Stroppel. 2025-06-10. Koszulity for semi-infinite highest weight categories. https://arxiv.org/abs/2506.09246

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