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- W2903521590 abstract "Let q : V → K be the form of degree 4 and H the alternating bilinear form that together give rise to a Freudenthal triple system when the characteristic of K is different from 2 and 3. We give a form Θ of degree 4 on a central cover of V over an arbitrary field in arbitrary characteristic and determine the group of similitudes of Θ. This group coincides with the intersection of the group of similitudes of q and the isometry group of H when the characteristic is different from 2 and 3 and has the expected structure of a suitable Levi subgroup in general. We extend known results about the stabilizers of elements of V and orbits of the group of similitudes and show, in particular, the existence of an exotic set of orbits when char ( K ) = 2 and K is not perfect." @default.
- W2903521590 created "2018-12-11" @default.
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- W2903521590 date "2019-02-01" @default.
- W2903521590 modified "2023-10-06" @default.
- W2903521590 title "Freudenthal triple systems in arbitrary characteristic" @default.
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- W2903521590 doi "https://doi.org/10.1016/j.jalgebra.2018.11.015" @default.
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