On the character of certain modular irreducible representations

2014/07/20 by G. Lusztig, Lusztig, G.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1407.5346

6 pages

openalex publication_date 2014/07/20 · arxiv created 2014/08/17 · arxiv updated 2014/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p>0. In this paper we restate our conjecture from 1979 on the characters of irreducible modular representations of G so that it is now directly applicable to any dominant highest weight.

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