Lie algebra
/liː.ældʒɨbɹə/
Lie algebra noun: 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.
Noun
Lie algebra (plural Lie algebras)
- 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.
Lie algebra meaning in Tamil
Lie algebra in Tamil
- லீ இயற்கணிதம்
Forms of Lie algebra
| plural | Lie algebras |
|---|
Origin of Lie algebra
Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.
Words formed from Lie algebra
- Lie bialgebra
- Lie coalgebra
- Lie superalgebra
Questions about Lie algebra
- What does Lie algebra mean?
- Lie algebra means 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.
- What is Lie algebra in Tamil?
- Lie algebra in Tamil is லீ இயற்கணிதம். See Lie algebra meaning in Tamil.
- What part of speech is Lie algebra?
- Lie algebra is a noun.
- How do you pronounce Lie algebra?
- Lie algebra is pronounced /liː.ældʒɨbɹə/.
- What is the plural of Lie algebra?
- The plural of Lie algebra is Lie algebras.
Words near Lie algebra in the dictionary
Source and license
Adapted from Wiktionary: Lie algebra (page history and authors); lie algebra (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “Lie algebra.” Word.ws, https://word.ws/lie_algebra. Based on Wiktionary, CC BY-SA 4.0.