Pforte, Lars and Murray, John
(2018)
The indecomposable symplectic and quadratic
modules of the Klein-four group.
Journal of Algebra, 505.
pp. 92-124.
ISSN 0021-8693
Abstract
We determine all indecomposable symplectic modules for the
Klein-four group K4 over a perfect field of characteristic 2
and classify the symplectic forms up to isometry. We also determine all K4-invariant quadratic forms which polarize to a
given symplectic form and classify such quadratic forms up to
isometry
| Item Type: |
Article
|
| Keywords: |
Symplectic; quadratic forms;
Indecomposable symplectic;
quadratic modules;
Klein-four group; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: |
13088 |
| Identification Number: |
https://doi.org/10.1016/j.jalgebra.2018.02.032 |
| Depositing User: |
Dr. John Murray
|
| Date Deposited: |
23 Jun 2020 14:35 |
| Journal or Publication Title: |
Journal of Algebra |
| Publisher: |
Elsevier |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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