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arXiv · 1006.2655

A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras

C. Bowman·S. Martin
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Abstract

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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BibTeXRIS

C. Bowman, S. Martin. 2012-07-16. A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras. https://arxiv.org/abs/1006.2655

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