Derived categories of character sheaves II: canonical induction/restriction functors

2023/05/08 by Penghui Li, Li, Penghui
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2305.04444

openalex publication_date 2023/05/08 · openalex created_date 2023/05/10 · openalex updated_date 2026/07/28

Abstract

We give a combinatorial description of the dg category of character sheaves on a complex reductive group G, extending results of [Li] for G simply-connected. We also explicitly identify the parabolic induction/restriction functors.

Related

• Derived categories of character sheaves
• Character sheaves on disconnected groups, VI
• Character sheaves and generalizations
• Character sheaves on disconnected groups, I
• Parabolic character sheaves, II