2009/10/30 by Alexander Kleshchev, Alexander S. Kleshchev, David A. Nash +3
Mathematics · #20C08 (Primary) #20C15 #20C20 #20C30 (Secondary) #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C08 #msc:20C15 #msc:20C20 #msc:20C30
paper · pdf · doi:10.48550/arxiv.0910.5940
11 pages
arxiv created 2009/10/30 · openalex publication_date 2009/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use graded Specht modules to calculate the graded decomposition numbers for the Iwahori-Hecke algebra of the symmetric group over a field of characteristic zero at a root of unity. The algorithm arrived at is the Lascoux-Leclerc-Thibon algorithm in disguise. Thus we interpret the algorithm in terms of graded representation theory.