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

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Publication details

JournalJournal of Lie Theory
DatePublished - 2012
Issue number4
Volume22
Number of pages9
Pages (from-to)1065-1073
Original languageEnglish

Abstract

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.

Bibliographical note

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

    Research areas

  • BGG algebras, Cellular algebras, Loewy structure

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