Geodesic
A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
Chris Bowman1 ; Stuart Martin2
1Dept. of Pure Mathematics, Corpus Christi College, University of Cambridge, Cambridge CB2 1RH, England
2Dept. of Pure Mathematics, Magdalene College, University of Cambridge, Cambridge CB2 1RH, England
Journal of Lie Theory, Tome 22 (2012) no. 4, pp. 1065-1073

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Chris Bowman  1   ; Stuart Martin  2

1 Dept. of Pure Mathematics, Corpus Christi College, University of Cambridge, Cambridge CB2 1RH, England
2 Dept. of Pure Mathematics, Magdalene College, University of Cambridge, Cambridge CB2 1RH, England 
Chris Bowman; Stuart 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/JOLT_2012_22_4_a6/
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     title = {A {Reciprocity} {Result} for {Projective} {Indecomposable} {Modules} of {Cellular} {Algebras} and {BGG} {Algebras}},
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