Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.12208 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912900924309504 |
|---|---|
| author | Barry, Michael J. J. |
| author_facet | Barry, Michael J. J. |
| contents | Let $p$ be a prime number, $F$ a field of characteristic $p$, and $G$ a cyclic group of order $q =p^a$ for some positive integer $a$. Under these circumstances every indecomposable $F G$-module is cyclic. For indecomposable $F G$-modules $U$ and $W$, we present a new recursive method for identifying a generator for each of the indecomposable components of $U \otimes W$ in terms of a particular $F$-basis of $U \otimes W$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_12208 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generators for Tensor Product Components Barry, Michael J. J. Representation Theory 20C20 Let $p$ be a prime number, $F$ a field of characteristic $p$, and $G$ a cyclic group of order $q =p^a$ for some positive integer $a$. Under these circumstances every indecomposable $F G$-module is cyclic. For indecomposable $F G$-modules $U$ and $W$, we present a new recursive method for identifying a generator for each of the indecomposable components of $U \otimes W$ in terms of a particular $F$-basis of $U \otimes W$. |
| title | Generators for Tensor Product Components |
| topic | Representation Theory 20C20 |
| url | https://arxiv.org/abs/2602.12208 |