Notes on character sheaves

2008/05/06 by G. Lusztig, Lusztig, G.
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.0805.0787

20 pages

arxiv created 2008/05/06 · openalex publication_date 2008/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the first section we study a functor of Bezrukavnikov, Finkelberg and Ostrik defined on character sheaves; we compute it in a Grothendieck group taking weights into account. In the second section we enlarge the class of character sheaves to a larger class of simple perverse sheaves which behaves well under tensor product (unlike the character sheaves themselves).

Related

• Character sheaves on disconnected groups, VI
• The character sheaves on the group compactification
• Character sheaves on disconnected groups, I
• Character sheaves on the semi-stable locus of a group compactification
• An alternative construction of character sheaves on parahoric subgroups