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.
| Original language | English |
|---|---|
| Pages (from-to) | 1065-1073 |
| Number of pages | 9 |
| Journal | Journal of Lie Theory |
| Volume | 22 |
| Issue number | 4 |
| Publication status | Published - 2012 |
Bibliographical note
Copyright:Copyright 2012 Elsevier B.V., All rights reserved.
Keywords
- BGG algebras
- Cellular algebras
- Loewy structure