2023/03/08 by Sinéad Lyle, Lyle, Sinead
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2303.04668
Let H denote an Ariki-Koike algebra over a field of characteristic p≥ 0. For each r-multipartition \bf λ of n, we define a H-module S\bf λ and for each Kleshchev r-multipartition \bf μ of n, we define an irreducible H-module D\bf μ. Given a multipartition \bf λ and a Kleshchev multipartition \bf μ both lying in a Rouquier block and which have a common multicore, we give a closed formula for the graded decomposition number [S\bf λ:D\bf μ]v when p=0.