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
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
Mots-clés : Cellular algebras, BGG algebras, Loewy structure
@article{JLT_2012_22_4_JLT_2012_22_4_a6,
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},
publisher = {mathdoc},
volume = {22},
number = {4},
year = {2012},
url = {http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a6/}
}
TY - JOUR AU - C. Bowman AU - S. Martin TI - A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras JO - Journal of Lie theory PY - 2012 SP - 1065 EP - 1073 VL - 22 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a6/ ID - JLT_2012_22_4_JLT_2012_22_4_a6 ER -
%0 Journal Article %A C. Bowman %A S. Martin %T A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras %J Journal of Lie theory %D 2012 %P 1065-1073 %V 22 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/JLT_2012_22_4_JLT_2012_22_4_a6/ %F JLT_2012_22_4_JLT_2012_22_4_a6
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/