A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
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math.RT
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algebrasprojectivecellularholdsmodulesreciprocityresultadaptation
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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. The reason it holds in our setting is that there is a duality between injective hulls and projective covers. As a corollary we deduce that BGG reciprocity respects Loewy structure.
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