# 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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### Gram matrix determinant in dimension 4 and $E_8$

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### Why is Jacobi Identity equivalent to holonomy of system? [migrated]

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### Basic notation question involving Lie Groups and Lie algebras

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### References for representations of Heisenberg Lie algebra

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### Compact image of adjoint action

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### Description of real roots of Kac—Moody algebra

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### Examples of three-dimensional non-nilpotent Leibniz or Lie algebras

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### Simple modules for direct sum of simple Lie algebras

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### Openly available software to work with Demazure modules

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### Definition of a Dirac operator

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### Deformation of the Hochschild-Kostant-Rosenberg isomorphism for universal enveloping algebra

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### Branching to Levi subgroups in SAGE and the circle action

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### GAP versus SageMath for branching to Lie subgroups

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### Lagrangian subgroup of a nonabelian Lie group

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