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Lusztig induction and ℓ-blocks of finite reductive groups

2015/06/08 by Radha Kessar, Kessar, Radha, Gunter Malle +1 · 1 citation
Mathematics · #20C15 #20C20 #20C33 #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.1506.02469

openalex publication_date 2015/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a unified parametrisation of ℓ-blocks of quasi-simple finite groups of Lie type in non-defining characteristic via Lusztig's induction functor in terms of e-Jordan-cuspidal pairs and e-Jordan quasi-central cuspidal pairs.

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