List questions from lie-algebras

Published on 25 Mar 2026 - 6:11

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$L = \mathfrak{sl}(2,F)$: Viewing $M = \mathfrak{sl}(3,F)$ as an $L$-module.

Published on 24 Mar 2026 - 22:01

264

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What is a symplectic form of the rotation group SO(n)

Published on 24 Mar 2026 - 7:13

105

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How to show that $t \subset g$ is a Lie sub-bialgebra if and only if $t^{\perp} \subset g^*$ is an ideal?

Published on 23 Mar 2026 - 1:18

68

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Decomposition of the representation $\chi_m(t)=e^{imt}$?

Published on 24 Mar 2026 - 22:09

269

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For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Published on 24 Mar 2026 - 19:01

504

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Examples of Lie algebra bundles and its application

Published on 22 Mar 2026 - 18:14

479

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Why is a root system called a "root" system?

Published on 22 Mar 2026 - 14:11

266

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Is Lie Bracket closely related to differentiation?

Published on 22 Mar 2026 - 17:38

476

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How to prove that this representation is irreducible?

Published on 25 Mar 2026 - 1:16

339

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How to solve an ODE using symmetry

Published on 25 Mar 2026 - 6:10

52

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A question about an affirmation on page 128 of the book Analysis on Lie groups, by James Faurat.

Published on 24 Mar 2026 - 20:46

590

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The Weyl group of $\Phi$ permutes the set $\Phi$

Published on 22 Mar 2026 - 22:20

73

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Differential Invariants

Published on 16 Mar 2026 - 20:24

208

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Discrete spectra of generators of compact Lie group

Published on 22 Mar 2026 - 11:43

List Question

Definition of matrix Lie group

$L = \mathfrak{sl}(2,F)$: Viewing $M = \mathfrak{sl}(3,F)$ as an $L$-module.

What is a symplectic form of the rotation group SO(n)

How to show that $t \subset g$ is a Lie sub-bialgebra if and only if $t^{\perp} \subset g^*$ is an ideal?

Decomposition of the representation $\chi_m(t)=e^{imt}$?

For a non-diagonalizable $n \times n$ matrix, how to prove that $\exists (A_m)$ is diagonalizable matrix such that $A_m$ converges to $A$.

Examples of Lie algebra bundles and its application

Why is a root system called a "root" system?

Is Lie Bracket closely related to differentiation?

How to prove that this representation is irreducible?

How to solve an ODE using symmetry

A question about an affirmation on page 128 of the book Analysis on Lie groups, by James Faurat.

The Weyl group of $\Phi$ permutes the set $\Phi$

Differential Invariants

Discrete spectra of generators of compact Lie group

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