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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
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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/13088 |
| 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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