Question

Proof the image of a Cartan subalgebra under the quotient map is a Cartan subalgebra

score 124 · Answer 1 · 2026-03-28 04:53:08

124

Views

Proof the image of a Cartan subalgebra under the quotient map is a Cartan subalgebra

Published on 28 Mar 2026 - 4:53

score 53 · Answer 2 · 2026-03-26 14:43:12

53

Views

A question related to maximally non-compact Cartan subalgebra.

Published on 26 Mar 2026 - 14:43

score 150 · Answer 3 · 2023-06-07 04:41:56

150

Views

Why is the image of a Lie group representation an automorphism but a Lie algebra representation an endomorphism?

Published on 07 Jun 2023 - 4:41

score 96 · Answer 4 · 2023-06-07 13:45:32

96

Views

Example of a non-connected Lie subgroup where the normalizer of Lie algebra is not the Lie algebra of the normalizer

Published on 07 Jun 2023 - 13:45

score 45 · Answer 5 · 2026-03-28 04:53:14

45

Views

If a Lie algbera is not semisimple, why must $\text{ad}_X$ and $\text{ad}_Y$ be of this form?

Published on 28 Mar 2026 - 4:53

score 58 · Answer 6 · 2026-04-11 05:04:30

58

Views

Derivative of matrix exponential with two matrices

Published on 11 Apr 2026 - 5:04

score 155 · Answer 7 · 2026-03-28 14:07:47

155

Views

When are Infinitesimal $\mathfrak{g}-$actions Lie homomorphisms?

Published on 28 Mar 2026 - 14:07

score 62 · Answer 8 · 2026-04-11 18:30:20

subspace generated by span of Lie bracket of elements from supplement of Cartan subalgebra be a subset of the Cartan subalgebra?

score 97 · Answer 9 · 2026-04-09 08:10:02

97

Views

Explicit calculations of Lie algebra homology and cohomology

Published on 09 Apr 2026 - 8:10

score 61 · Answer 10 · 2026-03-28 06:40:18

61

Views

Lie group of a complex simple Lie algebra $\mathfrak{g}$

Published on 28 Mar 2026 - 6:40

score 107 · Answer 11 · 2026-03-26 17:52:33

107

Views

The equality $\operatorname{Spec}\operatorname{Fun}\mathfrak{g}^* = \mathfrak{g}^*$

Published on 26 Mar 2026 - 17:52

score 27 · Answer 12 · 2026-04-12 18:09:50

27

Views

Lie algebra of centre of a Lie group and the coset space of root lattice?

Published on 12 Apr 2026 - 18:09

score 35 · Answer 13 · 2026-04-12 08:29:12

35

Views

A confusion about a linear basis of Lie subalgebra of Lie algebra

Published on 12 Apr 2026 - 8:29

score 114 · Answer 14 · 2026-04-10 20:19:15

114

Views

Is a connected simply connected compact Lie group perfect?

Published on 10 Apr 2026 - 20:19

score 35 · Answer 15 · 2026-03-26 07:39:10

35

Views

Lie algebra of the convex hull of extreme points?

Published on 26 Mar 2026 - 7:39

List Question

Proof the image of a Cartan subalgebra under the quotient map is a Cartan subalgebra

A question related to maximally non-compact Cartan subalgebra.

Why is the image of a Lie group representation an automorphism but a Lie algebra representation an endomorphism?

Example of a non-connected Lie subgroup where the normalizer of Lie algebra is not the Lie algebra of the normalizer

If a Lie algbera is not semisimple, why must $\text{ad}_X$ and $\text{ad}_Y$ be of this form?

Derivative of matrix exponential with two matrices

When are Infinitesimal $\mathfrak{g}-$actions Lie homomorphisms?

subspace generated by span of Lie bracket of elements from supplement of Cartan subalgebra be a subset of the Cartan subalgebra?

Explicit calculations of Lie algebra homology and cohomology

Lie group of a complex simple Lie algebra $\mathfrak{g}$

The equality $\operatorname{Spec}\operatorname{Fun}\mathfrak{g}^* = \mathfrak{g}^*$

Lie algebra of centre of a Lie group and the coset space of root lattice?

A confusion about a linear basis of Lie subalgebra of Lie algebra

Is a connected simply connected compact Lie group perfect?

Lie algebra of the convex hull of extreme points?

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