On a Question of Glasby, Praeger, and Xia
A Jordan partition λ(m, n, p) = (λ 1 , λ 2 , ... , 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...
Saved in:
| Published in | Communications in algebra Vol. 43; no. 10; pp. 4231 - 4246 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
03.10.2015
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Summary: | A Jordan partition λ(m, n, p) = (λ
1
, λ
2
, ... , 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. |
|---|---|
| ISSN: | 0092-7872 1532-4125 |
| DOI: | 10.1080/00927872.2014.941470 |