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math.GR2022★ 1 cited
Hodge Operators and Exceptional Isomorphisms between Unitary Groups
Linus Kramer, Markus J. Stroppel
We give a generalization of the Hodge operator to spaces endowed with a hermitian or symmetric bilinear form over arbitrary fields, including the characteristic two cas…
math.GR2022
Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two
Linus Kramer, Markus J. Stroppel
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, viewe…