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- W2022169851 abstract "We are interested in forms of even degree d⩾4 over ordered fields, which are linear combinations with positive coefficients of dth powers of linear forms. Usually such a representation is not unique. However certain forms have so-called unique good representation. Linear preservers of such forms are studied. Since −idV is a linear preserver of any form of even degree, orthogonal groups of considered forms have a central involution. We show that any finite group with a central involution is isomorphic with the orthogonal group of such forms of even degree." @default.
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- W2022169851 date "2001-07-01" @default.
- W2022169851 modified "2023-10-05" @default.
- W2022169851 title "Automorphisms of certain forms of higher degree over ordered fields" @default.
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- W2022169851 doi "https://doi.org/10.1016/s0024-3795(01)00272-5" @default.
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