Geodesic
A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
Journal of Lie theory, Tome 22 (2012) no. 4, pp. 1065-1073
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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. As a corollary we deduce that BGG reciprocity respects Loewy structure.
Classification : 20C30
Mots-clés : Cellular algebras, BGG algebras, Loewy structure 
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     author = {C. Bowman and S. Martin},
     title = {A {Reciprocity} {Result} for {Projective} {Indecomposable} {Modules} of {Cellular} {Algebras} and {BGG} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {1065--1073},
     year = {2012},
     volume = {22},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a6/}
}
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C. Bowman; S. Martin. A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras. Journal of Lie theory, Tome 22 (2012) no. 4, pp. 1065-1073. http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a6/