# Questions tagged [lie-algebras]

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. See also the [Wiki page](http://en.wikipedia.org/wiki/Lie_algebra).

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### Lie algebra elements commuting with a principal nilpotent element

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### Lie algebras with unique invariant bilinear symmetric form

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### Weyl Group Action on Littelmann Paths

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### Weight spaces of modules over Lie algebras

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### Hopf structure on the universal enveloping of a super Hopf algebra

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### Identification problem: Does this group have a name?

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### Cyclic version of Lie algebra cohomology

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### Describing compact Lie groups in purely topological terms

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### Cyclic vectors in irreducible representations of simple Lie algebras

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### Re asking:On the proof by Chu-Kobayashi that transformation groups are Lie groups

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### Does the Weyl group preserve coprimality in Kac-Moody algebras?

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### Mysterious identity in cosimplicial $R$-module with Lie brackets

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### Are vertex operator algebras ever conspiratorial?

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### infinite fold tensor product of universal enveloping algebra

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