See Lie algebra on Wiktionary
{
"etymology_text": "Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.",
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"word": "Lie bialgebra"
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"word": "Lie coalgebra"
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"An algebra over a field whose bilinear product is alternating (or, equivalently for a bilinear product, anticommutative) and satisfies the Jacobi identity. Such a bilinear product is called a Lie bracket."
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"(mathematics) An algebra over a field whose bilinear product is alternating (or, equivalently for a bilinear product, anticommutative) and satisfies the Jacobi identity. Such a bilinear product is called a Lie bracket."
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"sense": "algebraic structure",
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"code": "fi",
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"sense": "algebraic structure",
"word": "Lien algebra"
},
{
"code": "de",
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"sense": "algebraic structure",
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"word": "Lie algebra"
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Download raw JSONL data for Lie algebra meaning in All languages combined (2.4kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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