Lie algebra

English

Etymology

Named in honor of Sophus Lie (1842–1899), a Norwegian mathematician, in the 1930s by Hermann Weyl.

Pronunciation

  • IPA(key): /liː.ældʒɨbɹə/

Noun

Lie algebra (plural Lie algebras)

  1. (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

  • Lie bialgebra
  • Lie coalgebra
  • Lie superalgebra

Translations

References

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