Schreier's formula for free Lie algebras (Q1580895)
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scientific article; zbMATH DE number 1507821
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schreier's formula for free Lie algebras |
scientific article; zbMATH DE number 1507821 |
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Schreier's formula for free Lie algebras (English)
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21 July 2003
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The author establishes an analogue of Schreier's formula for subalgebras of free Lie algebras in terms of formal power series. Similar formulae are given for free Lie \(p\)-algebras and superalgebras. As an application the author computes the Hilbert-Poincaré series for some finitely generated solvable Lie algebras and groups.
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Lie algebra
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Lie \(p\)-algebra
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Lee superalgebra
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free algebra
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solvable Lie algebra
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formal power series
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