Twisted \D-module extensions of local systems on a certain\n subvariety isomorphic to mathbbG_\m² of the affine flag\n variety of \SL₂

2020/11/07 by Claude Eicher, Eicher, Claude
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Affine transformation #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics #Discrete mathematics #FOS: Mathematics #Flag (linear algebra) #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Rank (graph theory) #Representation Theory (math.RT) #Subvariety #Variety (cybernetics) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.2011.03764

arxiv created 2020/11/07 · openalex publication_date 2020/11/07 · arxiv updated 2020/11/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/08/05

Abstract

We introduce a family of rank-one local systems in the category of twisted\n\D-modules on a certain subvariety isomorphic to\n mathbbG_\m² of the affine flag variety of \SL₂. We\nthen give a criterion for these local systems, in terms of their parameters, to\nextend cleanly in the sense of \D-modules.\n

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