Bowman, Christopher, Martin, S. (2012) A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras. Journal of Lie Theory, 22 (4). pp. 1065-1073. ISSN 0949-5932. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70136)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://www.heldermann.de/JLT/JLT22/JLT224/jlt22047... |
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Cellular algebras, BGG algebras, Loewy structure |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Christopher Bowman |
| Date Deposited: | 16 Nov 2018 11:59 UTC |
| Last Modified: | 20 May 2025 11:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70136 (The current URI for this page, for reference purposes) |
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https://orcid.org/0000-0001-6046-8930
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