Journal of Lie Theory 22 (2012), No. 4, 1065--1073
Copyright Heldermann Verlag 2012
A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
Dept. of Pure Mathematics, Corpus Christi College, University of Cambridge, Cambridge CB2 1RH, England
Dept. of Pure Mathematics, Magdalene College, University of Cambridge, Cambridge CB2 1RH, England
We show that an adaptation of Landrock's Lemma for symmetric algebras also holds for cellular algebras and BGG algebras. This is a result relating the radical layers of any two projective modules. As a corollary we deduce that BGG reciprocity respects Loewy structure.
Keywords: Cellular algebras, BGG algebras, Loewy structure.
[ Fulltext-pdf (259 KB)] for subscribers only.