TL;DR
This paper establishes a version of Koszul duality for category O in positive characteristic, extending the theoretical framework without relying on Koszul rings or Kazhdan-Lusztig conjectures.
Contribution
It introduces a novel analog of Koszul duality for category O in positive characteristic, broadening the scope of existing duality theories.
Findings
Established an analog of Koszul duality in positive characteristic
Demonstrated the absence of Koszul rings in this context
Did not prove Kazhdan-Lusztig conjectures analogs
Abstract
We prove an analogon of Koszul duality for category O in positive characteristic. However, there are no Koszul rings, and we do not prove an analog of the Kazhdan-Lusztig conjectures in this context.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Commutative Algebra and Its Applications