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Jeux de mots dans les algèbres de Lie libres: Quelques bases et formules. (Word problems in free Lie algebras: Some bases and formulas) - MaRDI portal

Jeux de mots dans les algèbres de Lie libres: Quelques bases et formules. (Word problems in free Lie algebras: Some bases and formulas) (Q757562)

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scientific article; zbMATH DE number 4191935
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English
Jeux de mots dans les algèbres de Lie libres: Quelques bases et formules. (Word problems in free Lie algebras: Some bases and formulas)
scientific article; zbMATH DE number 4191935

    Statements

    Jeux de mots dans les algèbres de Lie libres: Quelques bases et formules. (Word problems in free Lie algebras: Some bases and formulas) (English)
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    1991
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    This paper presents classical algorithms for constructing Hall and Lyndon bases of the free Lie \({\mathbb{Q}}\)-algebra and for computing Campbell- Hausdorff-like formulas. The author also gives effective Scratchpad implementations of these algorithms and compares their effective time complexity with Lisp programs.
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    free Lie algebra
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    Lyndon basis
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    Hall basis
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    algorithms
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    Scratchpad
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    Lisp
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