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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.

7 votes
4 answers
945 views

lists of computed cohomologies?

Is there any comprehensive list of examples for computed 1) de-Rham cohomology-groups 2) Lie-algebra-cohomology groups $H^i(\mathfrak{g},\mathbb{R})$ 3) equivariant de-Rham cohomology groups ? Esp …
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6 votes
1 answer
974 views

Lie algebras and complements

I have some elementary questions about Lie algebras and vector space complements. Let $(\mathfrak{g},[.,.])$ be a finite-dimensional Lie algebra and $\mathfrak{g}_1$ a Lie ideal in $\mathfrak{g}$. …
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