# 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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### Nice Form of Vector Field

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### Indecomposable, non-simple, modules of quantum groups at roots of unity

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### Lusztig's completion for universal enveloping algebra

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### Factorization of characters

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### Centraliser of $\Delta U$ in $U\otimes U$

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### What is the connection between Frechet Lie groups and Lie algebras?

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### Homeomorphisms of Springer fibers

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### Non-faithful irreducible representations of simple Lie groups

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### Motivation and Difference of Category O Definition for Kac-Moody Algebras

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### Characterisation of even nilpotent elements in $\mathfrak{sl}_n$

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### Tensoring Harish-Chandra bimodules with Verma modules

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### Distinguished dominant integral weight related to a branching problem

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### Questions of the paper “PBW-pairs of varieties of linear algebras”

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### The idealizer of the space of vector fields with vanishing divergence

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