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Lie algebra
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English
Etymology
Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.
Pronunciation
en /liː.ældʒɨbɹə/ 1
Noun
en 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.
Derived terms
en Lie bialgebra
en Lie coalgebra
en Lie superalgebra
Related terms
en Lie group
Translations
algebraic structure
Bulgarian: bg алгебра на Ли f
Finnish: fi Lien algebra
German: de Lie-Algebra f
Japanese: ja リー代数 rīdaisū
Polish: pl algebra Liego f
Russian: ru а́лгебра Ли f
Serbo-Croatian:
Latin: sh Liejeva algebra f
en eponyms