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Applications of quadratic D-forms to generalized quadratic forms
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| Amir Hossein Nokhodkar |
| , a.nokhodkar@kashanu.ac.ir |
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Abstract: (125 Views) |
| In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms. |
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| Keywords: Quadratic form, generalized quadratic form, division algebra with involution, right vector space. |
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Full-Text [PDF 1408 kb]
(51 Downloads)
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Type of Study: Original Manuscript |
Subject:
alg
Received: 2019/10/1 | Revised: 2023/01/1 | Accepted: 2021/01/4 | Published: 2022/12/20 | ePublished: 2022/12/20
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