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

C. Bowman; S. Martin

doi:10.5802/jolt.705

C. Bowman; S. Martin

Journal of Lie Theory, Volume 22 (2012) no. 4, pp. 1065-1073

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. As a corollary we deduce that BGG reciprocity respects Loewy structure.

arXiv Zbl

DOI: 10.5802/jolt.705

Classification: 20C30
Keywords: Cellular algebras, BGG algebras, Loewy structure

@article{JOLT_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},
     year = {2012},
     volume = {22},
     number = {4},
     doi = {10.5802/jolt.705},
     zbl = {1275.20006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.705/}
}

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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, Volume 22 (2012) no. 4, pp. 1065-1073. doi: 10.5802/jolt.705

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