Question

How to find a Cartan subalgebra of $\mathfrak{so}(n)$?

score 1.8k · Answer 1 · 2026-03-31 20:30:40

1.8k

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How to find a Cartan subalgebra of $\mathfrak{so}(n)$?

Published on 31 Mar 2026 - 20:30

score 126 · Answer 2 · 2026-04-03 17:59:53

126

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Every element in $SU(2)$ has the form $\begin{bmatrix} \alpha& \beta\\ -\bar{\beta} & -\bar{\alpha}\end{bmatrix}$ with $\alpha, \beta\in \mathbb{C}$

Published on 03 Apr 2026 - 17:59

score 1k · Answer 3 · 2019-11-15 20:49:34

1k

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How does the Weyl group of a simple Lie algebra act on fundamental weights?

Published on 15 Nov 2019 - 20:49

score 175 · Answer 4 · 2026-03-25 17:31:58

175

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Linear fit on 3D rotations

Published on 25 Mar 2026 - 17:31

score 63 · Answer 5 · 2019-11-16 13:55:37

63

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example of a Lie algebra L and its non-semisimple representation

Published on 16 Nov 2019 - 13:55

score 1k · Answer 6 · 2019-11-16 22:14:14

1k

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Finding the structure constants of $sl(2,F)$

Published on 16 Nov 2019 - 22:14

score 522 · Answer 7 · 2026-04-03 17:56:06

522

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How is the Lie algebra of the image of the Adjoint representation related to the image of the adjoint representation?

Published on 03 Apr 2026 - 17:56

score 45 · Answer 8 · 2019-11-18 15:40:35

45

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Injecting Leibniz algebras in its enveloping algebra

Published on 18 Nov 2019 - 15:40

score 42 · Answer 9 · 2019-11-18 17:24:42

42

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Matrix Lie Algebra isomorphic to a vector field Lie algebra on $\mathbb{R}^{3}$ .

Published on 18 Nov 2019 - 17:24

score 488 · Answer 10 · 2026-04-02 03:53:34

488

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Non abelian Lie group with abelian Lie algebra

Published on 02 Apr 2026 - 3:53

score 95 · Answer 11 · 2026-04-03 17:54:30

95

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Number of non-isomorphic representations of a Lie group

Published on 03 Apr 2026 - 17:54

score 762 · Answer 12 · 2026-03-29 04:41:42

762

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Certain Subalgebra of $\mathfrak{so}(4,\Bbb{C})$ is Cartan

Published on 29 Mar 2026 - 4:41

score 171 · Answer 13 · 2026-03-28 14:05:29

171

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For which $n$ can the plane with $n$ points removed be equipped with a Lie group structure?

Published on 28 Mar 2026 - 14:05

score 85 · Answer 14 · 2026-04-03 19:40:50

85

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Lie groups and vector fields

Published on 03 Apr 2026 - 19:40

score 130 · Answer 15 · 2026-04-03 17:32:39

130

Views

If $M$ is a compact manifold and $X$ is a vector field in $M$ then $X$ generates a flow.

Published on 03 Apr 2026 - 17:32

List Question

How to find a Cartan subalgebra of $\mathfrak{so}(n)$?

Every element in $SU(2)$ has the form $\begin{bmatrix} \alpha& \beta\\ -\bar{\beta} & -\bar{\alpha}\end{bmatrix}$ with $\alpha, \beta\in \mathbb{C}$

How does the Weyl group of a simple Lie algebra act on fundamental weights?

Linear fit on 3D rotations

example of a Lie algebra L and its non-semisimple representation

Finding the structure constants of $sl(2,F)$

How is the Lie algebra of the image of the Adjoint representation related to the image of the adjoint representation?

Injecting Leibniz algebras in its enveloping algebra

Matrix Lie Algebra isomorphic to a vector field Lie algebra on $\mathbb{R}^{3}$ .

Non abelian Lie group with abelian Lie algebra

Number of non-isomorphic representations of a Lie group

Certain Subalgebra of $\mathfrak{so}(4,\Bbb{C})$ is Cartan

For which $n$ can the plane with $n$ points removed be equipped with a Lie group structure?

Lie groups and vector fields

If $M$ is a compact manifold and $X$ is a vector field in $M$ then $X$ generates a flow.

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