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

Linus Kramer; Markus J. Stroppel

doi:10.1016/j.laa.2025.09.002

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arXiv · 2208.11326

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

Linus Kramer·Markus J. Stroppel

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Abstract

We study groups of isometries on 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.

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Linus Kramer, Markus J. Stroppel. 2022-08-24. Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two. https://doi.org/10.1016/j.laa.2025.09.002

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