Rings of invariants of special and contact Lie algebras (Q1916564)

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scientific article; zbMATH DE number 898879
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Rings of invariants of special and contact Lie algebras
scientific article; zbMATH DE number 898879

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    Rings of invariants of special and contact Lie algebras (English)
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    21 August 1996
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    This is a continuation of the author's work [Russ. Math. 37, No. 7, 22-26 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 7, 24-28 (1993; Zbl 0852.17018)] devoted to the determination of the polynomial invariants of the Cartan type algebras \(W_n\) and \(H_{2n}\) using restriction from the \(Z\)-forms of these algebras. Here this approach is successfully applied to the types \(S_{n + 1}\) and \(K_{2n - 1}\). Reviewer's remark: In the translation from the Russian the terminology is often incorrect.
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    modular Lie algebras
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    roots
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    types \(S_{n + 1}\) and \(K_{2n - 1}\)
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    polynomial invariants
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    Cartan type algebras
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