On a Question of Glasby, Praeger, and Xia
Persistent URL
Author(s)
Barry, Michael J. J.
Date Issued
July 6, 2015
Abstract
A Jordan partition λ(m, n, p) = (λ1, λ2, … , λ m ) is a partition of mn associated with the expression of a tensor V m ⊗ V n of indecomposable KG-modules into a sum of indecomposables, where K is a field of characteristic p and G a cyclic group of p-power order. It is standard if λ i = m + n − 2i + 1 for all i. We answer a recent question of Glasby, Praeger, and Xia who asked for necessary and sufficient conditions for λ(m, n, p) to be standard.
Journal
Communications in Algebra
Department
Mathematics
Citation
Barry, M.J.J. (2015) On a Question of Glasby, Praeger, and Xia, Communications in Algebra, 43:10, 4231-4246, DOI: 10.1080/00927872.2014.941470.
Publisher
Taylor & Francis
Version of Article
Preprint
DOI
10.1080/00927872.2014.941470
ISSN
0092-7872
1532-4125
Rights
This is the Author's Original Manuscript of an article published by Taylor & Francis in Communications in Algebra on July 6, 2015, available online: http://wwww.tandfonline.com/10.1080/00927872.2014.941470.
Subjects
File(s)![Thumbnail Image]()
Name
Barry 2015 On Question Preprint.pdf
Description
Preprint
Size
342.13 KB
Format
Adobe PDF
Checksum (MD5)
ab583b6b9d15f1a4f67d68c224351327