Study of the double Lie algebra of decorated rooted trees. (Q861060)

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scientific article; zbMATH DE number 5083653
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English
Study of the double Lie algebra of decorated rooted trees.
scientific article; zbMATH DE number 5083653

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    Study of the double Lie algebra of decorated rooted trees. (English)
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    9 January 2007
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    The paper introduces the notion of double Lie algebra of rooted trees decorated by a set. This turns out to be a simple Lie algebra. The author studies its automorphisms, derivations and central extensions. The author also studies the category of lowest weight modules.
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    Lie algebras
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    rooted trees
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    lowest weight modules
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