Categorified Koszul duality of algebras
Isamu Iwanari
TL;DR
This paper develops a categorified version of Koszul duality focusing on monoidal categories, establishing duality results for stable monoidal infinity-categories linked to Artin and related algebras.
Contribution
It introduces a novel categorified framework for Koszul duality applicable to monoidal infinity-categories associated with Artin algebras.
Findings
Established Koszul duality results for stable monoidal infinity-categories
Extended duality phenomena to categorified settings among monoidal categories
Provided new insights into duality in algebraic and categorical contexts
Abstract
We study a categorified generalization of Koszul duality that treats duality phenomena among monoidal categories. We establish Koszul duality results for stable monoidal infinity-categories associated with Artin algebras and related algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research