On the Generalized Springer Correspondence for Classical Groups

2018/06/06 by G. Lusztig, N. Spaltenstein · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #Factor (programming language) #Computer science #Algebra over a field #Mathematics #Pure mathematics #Programming language

paper · pdf · doi:10.2969/aspm/00610289

openalex publication_date 2018/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In [4], the first named author defined a generalization of Springer's correspondence [10] between unipotent classes of connected reductive algebraic groups and Weyl groups representations.Several explicit computations are also carried out in [4].These computations extend in particular Shoji's earlier determination [7] of the usual Springer correspondence for SOn(k) and SP2n(k), char (k) =1= 2. We consider here the following cases.0.4.Let P be a parabolic subgroup of G with unipotent radical U

Citations

• Intersection cohomology complexes on a reductive group
• Trigonometric sums, green functions of finite groups and representations of Weyl groups

Cited by

• On the Generalized Springer Correspondence for Exceptional Groups
• Springer correspondence [wikipedia]