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- W2190664389 abstract "Let f: V × V → F be a totally arbitrary bilinear form defined on a finite dimensional vector space V over a field F, and let L(f) be the subalgebra of 𝔤𝔩(V) of all skew-adjoint endomorphisms relative to f. Provided F is algebraically closed of characteristic not 2, we determine all f, up to equivalence, such that L(f) is reductive. As a consequence, we find, over an arbitrary field, necessary and sufficient conditions for L(f) to be simple, semisimple or isomorphic to 𝔰𝔩(n) for some n." @default.
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- W2190664389 date "2014-05-23" @default.
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- W2190664389 title "Reductivity of the Lie Algebra of a Bilinear Form" @default.
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- W2190664389 doi "https://doi.org/10.1080/00927872.2013.839996" @default.
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