Lie algebra

Meaning

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.

Etymology / origin

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

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