2018/03/12 by Penghui Li, Li, Penghui · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1803.04289
This ver: Add some prelimary on dg categories; calculate endomorphism complexes of irreducible character sheaves; fix some errors. ver.2: Fix some errors. Add examples for rank up to three. 9 pages, 7 figures
openalex publication_date 2018/03/12 · arxiv created 2018/10/16 · arxiv updated 2018/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a block decomposition of the dg category of character sheaves on a simple and simply-connected complex reductive group G, similar to the one in generalized Springer correspondence. As a corollary, we identify the category of character sheaves on G as the category of quasi-coherent sheaves on an explicitly defined derived stack \widehatG.