Derivations and automorphism group of completed Witt Lie algebra (Q2909090)

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scientific article; zbMATH DE number 6073860
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Derivations and automorphism group of completed Witt Lie algebra
scientific article; zbMATH DE number 6073860

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    29 August 2012
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    completed Witt Lie algebra
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    derivations
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    automorphism group
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    Derivations and automorphism group of completed Witt Lie algebra (English)
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    Let \(\hat L={\mathcal C}[[t]]\frac{d}{dt}\) be the so-called completed Witt Lie algebra. The authors determine the derivation algebra and the automorphism group of \(\hat L\), and prove that this Lie algebra does not contain any nonzero ad-locally finite element. Furthermore, they also present some interesting subalgebras.
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