Lie algebra en · NOUN
Pronunciation
- /liː.ældʒɨbɹə/
Etymology
Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.
Meanings
- 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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Lie algebras | Number=Plur | lexicographic |
Deriveds
Lie superalgebra · Lie coalgebra · Lie bialgebra
Translations (7)
de Lie-Algebra (algebraic structure) · pl algebra Liego (algebraic structure) · sh Liejeva algebra (algebraic structure) · bg алгебра на Ли (algebraic structure) · ja リー代数 (algebraic structure) · fi Lien algebra (algebraic structure) · ru а́лгебра Ли (algebraic structure)