Applications of quadratic D-forms to generalized quadratic forms
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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | fas |
| Published: |
Kharazmi University
2022-11-01
|
| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-3003-en.html |
| _version_ | 1827991190594650112 |
|---|---|
| author | Amir Hossein Nokhodkar |
| author_facet | Amir Hossein Nokhodkar |
| author_sort | Amir Hossein Nokhodkar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T00:46:42Z |
| format | Article |
| id | doaj.art-f26ff8fb6a004d639e0148330ec9a3b2 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:42Z |
| publishDate | 2022-11-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-f26ff8fb6a004d639e0148330ec9a3b22023-03-13T19:23:45ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542022-11-0183206217Applications of quadratic D-forms to generalized quadratic formsAmir Hossein Nokhodkar0 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.http://mmr.khu.ac.ir/article-1-3003-en.htmlquadratic formgeneralized quadratic formdivision algebra with involutionright vector space. |
| spellingShingle | Amir Hossein Nokhodkar Applications of quadratic D-forms to generalized quadratic forms پژوهشهای ریاضی quadratic form generalized quadratic form division algebra with involution right vector space. |
| title | Applications of quadratic D-forms to generalized quadratic forms |
| title_full | Applications of quadratic D-forms to generalized quadratic forms |
| title_fullStr | Applications of quadratic D-forms to generalized quadratic forms |
| title_full_unstemmed | Applications of quadratic D-forms to generalized quadratic forms |
| title_short | Applications of quadratic D-forms to generalized quadratic forms |
| title_sort | applications of quadratic d forms to generalized quadratic forms |
| topic | quadratic form generalized quadratic form division algebra with involution right vector space. |
| url | http://mmr.khu.ac.ir/article-1-3003-en.html |
| work_keys_str_mv | AT amirhosseinnokhodkar applicationsofquadraticdformstogeneralizedquadraticforms |