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Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.

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Title: Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.
Authors: Kramer, Linus1 (AUTHOR) linus.kramer@uni-muenster.de, Stroppel, Markus J.1,2 (AUTHOR) stroppel@mathematik.uni-stuttgart.de
Source: Linear Algebra & its Applications. Jan2026, Vol. 728, p211-231. 21p.
Subjects: Bilinear forms, Vector spaces, Automorphisms, Modules (Algebra), Hodge theory, Algebra
Abstract: We study groups of isometries of non-alternating symmetric bilinear forms on vector spaces of characteristic two, and actions of these groups on exterior powers of the space, viewed as modules over algebras generated by Hodge operators. [ABSTRACT FROM AUTHOR]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 188390738
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.
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  Data: <searchLink fieldCode="AR" term="%22Kramer%2C+Linus%22">Kramer, Linus</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> linus.kramer@uni-muenster.de</i><br /><searchLink fieldCode="AR" term="%22Stroppel%2C+Markus+J%2E%22">Stroppel, Markus J.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> stroppel@mathematik.uni-stuttgart.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Linear+Algebra+%26+its+Applications%22">Linear Algebra & its Applications</searchLink>. Jan2026, Vol. 728, p211-231. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Bilinear+forms%22">Bilinear forms</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Automorphisms%22">Automorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Modules+%28Algebra%29%22">Modules (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Hodge+theory%22">Hodge theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink>
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  Label: Abstract
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  Data: We study groups of isometries of non-alternating symmetric bilinear forms on vector spaces of characteristic two, and actions of these groups on exterior powers of the space, viewed as modules over algebras generated by Hodge operators. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.laa.2025.09.002
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 21
        StartPage: 211
    Subjects:
      – SubjectFull: Bilinear forms
        Type: general
      – SubjectFull: Vector spaces
        Type: general
      – SubjectFull: Automorphisms
        Type: general
      – SubjectFull: Modules (Algebra)
        Type: general
      – SubjectFull: Hodge theory
        Type: general
      – SubjectFull: Algebra
        Type: general
    Titles:
      – TitleFull: Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two.
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            NameFull: Kramer, Linus
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            NameFull: Stroppel, Markus J.
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            – D: 01
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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              Value: 728
          Titles:
            – TitleFull: Linear Algebra & its Applications
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