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Grassmannians and Koszul duality

2013/11/30 by Jan Weidner
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Computer science #Duality (order theory) #Flag (linear algebra) #Mathematics #Modular design #Nonlinear Waves and Solitons #Programming language #Pure mathematics #Ring (chemistry) #Variety (cybernetics) #math.RT

paper · pdf · doi:10.1007/s00209-014-1345-z

35 pages

arxiv created 2014/06/13 · arxiv updated 2014/06/17 · openalex publication_date 2014/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Let X be a partial flag variety, stratified by orbits of the Borel. We give a criterion for the category of modular perverse sheaves to be equivalent to modules over a Koszul ring. This implies that modular category \mathcal O is governed by a Koszul-algebra in small examples.

Citations