English Explanatory Dictionary

Lie algebra

English dictionary entry

Meanings

noun
  1. 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.

Pronunciation

/liː.ældʒɨbɹə/

Word forms

Lie algebra Lie algebras

Etymology

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

Derived words

Lie bialgebra Lie coalgebra Lie superalgebra
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