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Results tagged with lie-algebras
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user 137013
Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
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Notation on supergeometry — parity
Since a Lie algebra is a vector space, $\Pi\mathfrak{g}$ is just the vector space $\mathfrak{g}$ with a $\mathbb{Z}_2$-grading where every element is odd. In particular, if $(t_a)$ is a basis of $\mat …
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