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- W2044596331 abstract "Let G be a simple linear algebraic group over a field F, and V an absolutely irreducible representation of G. We show that under some mild hypotheses there exists an invariant homogeneous polynomial f for the action of G on V defined over F, such that twisted forms of f up to a scalar multiple classify twisted forms of G for which the representation V is defined over F. This result extends the classical case of a quadratic form q and its orthogonal group O(q)." @default.
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- W2044596331 date "2015-02-01" @default.
- W2044596331 modified "2023-09-27" @default.
- W2044596331 title "Classifying forms of simple groups via their invariant polynomials" @default.
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- W2044596331 doi "https://doi.org/10.1016/j.jalgebra.2014.08.057" @default.
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