# 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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### De Rham cohomology of homogeneous spaces

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### What subalgebras of $\mathfrak{so}(2n)$ or $\mathfrak{sp}(2n)$ are orthogonal to the centre of $\mathfrak{gl}(n)$?

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### Branching rules for E6 into SU(3)^3

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### $L_\infty$-quasi inverse for the contravariant Cartan model on principal bundles

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### Representation theory [closed]

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### Classical nilpotent and solvable Lie algebras [closed]

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### Homotopy transfer of cyclic L-infinity algebras

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### Nilpotent elements of Lie algebra and unipotent groups

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### Finite dimensional Lie algebras: bracket of generalized eigenspaces of a derivation

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### On maximal closed connected subgroups of a compact connected semisimple Lie group?

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### Weight spaces of representations of finite dimensional simple Lie algebras

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### Number of real roots in type $\tilde{E}_8$

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### Commutator space of regular nilpotent elements

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

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