List questions from lie-algebras

Published on 22 Mar 2026 - 17:35

97

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Show this representation of $\mathfrak{sl}_2(\mathbb C)$ is completely reducible

Published on 26 Mar 2026 - 17:32

715

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Using Lie's theorem to prove that Rad $L = Z(L)$ for $L=\mathfrak{sl}(V)$

Published on 13 Oct 2018 - 21:06

479

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Structure constants and matrix representations

Published on 14 Oct 2018 - 5:38

63

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Explicit matrix form for the Cartan generators of $F_4$

Published on 14 Oct 2018 - 23:15

193

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Connected Lie group 1-dimensional isomorphic to $\mathbb{R}$ or to $S^1$

Published on 15 Oct 2018 - 7:22

106

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The solution of the classical Yang-Baxter equation induces a Lie bialgebra

Published on 15 Oct 2018 - 14:42

152

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Step in the proof of the adjoint representation of the Lie bracket

Published on 16 Oct 2018 - 8:58

229

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Explicit Hermitian scalar product on a simple complex Lie algebra

Published on 16 Oct 2018 - 9:15

464

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Differential invariants of ODEs

Published on 25 Mar 2026 - 16:00

107

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Show that $g^{-1}\frac{dg}{dt} \in \mathfrak{g}$

Published on 17 Oct 2018 - 10:20

50

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How is one supposed to carry sign in Lie brackets? Is it bilinearity?

Published on 17 Oct 2018 - 14:20

103

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Fundamental affine space of Lie algebra

Published on 18 Oct 2018 - 20:27

55

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Lie group embeddings $SU(5) \supset SU(3) \times SU(2) \times U(1)?$

Published on 19 Oct 2018 - 1:39

141

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Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$

Published on 19 Oct 2018 - 1:51

List Question

proof of the Jacobi Identity for certain poisson brackets

Show this representation of $\mathfrak{sl}_2(\mathbb C)$ is completely reducible

Using Lie's theorem to prove that Rad $L = Z(L)$ for $L=\mathfrak{sl}(V)$

Structure constants and matrix representations

Explicit matrix form for the Cartan generators of $F_4$

Connected Lie group 1-dimensional isomorphic to $\mathbb{R}$ or to $S^1$

The solution of the classical Yang-Baxter equation induces a Lie bialgebra

Step in the proof of the adjoint representation of the Lie bracket

Explicit Hermitian scalar product on a simple complex Lie algebra

Differential invariants of ODEs

Show that $g^{-1}\frac{dg}{dt} \in \mathfrak{g}$

How is one supposed to carry sign in Lie brackets? Is it bilinearity?

Fundamental affine space of Lie algebra

Lie group embeddings $SU(5) \supset SU(3) \times SU(2) \times U(1)?$

Lie group embeddings $SO(10) \supset SU(3) \times SU(2) \times U(1)?$

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