A reciprocity result for projective indecomposable modules of cellular algebras and BGG algebras

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We show that an adaptation of Landrock's Lemma for sym- metric 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.

Original languageEnglish
Pages (from-to)1065-1073
Number of pages9
JournalJournal of Lie Theory
Issue number4
Publication statusPublished - 2012

Bibliographical note

Copyright 2012 Elsevier B.V., All rights reserved.


  • BGG algebras
  • Cellular algebras
  • Loewy structure

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