2009/12/10 by Sinéad Lyle, Sinead Lyle, Lyle, Sinead +2 · 1 citation
Mathematics · #20C08 #20C30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C08 #msc:20C30
paper · pdf · doi:10.48550/arxiv.0912.2038
30 pages
arxiv created 2009/12/10 · openalex publication_date 2009/12/10 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a q-analogue of the Carter-Payne theorem in the case where the differences between the parts of the partitions are sufficiently large. We identify a layer of the Jantzen filtration which contains the image of these Carter-Payne homomorphisms and we show how these homomorphisms compose.