Question

Is it true that for a semisimple Lie algebra $\mathfrak{g}$, $[\mathfrak{g},\mathfrak{g}^e]\subset[e,\mathfrak{g}]$ for $e$ a regular nilpotent?

score 175 · Answer 1 · 2026-03-28 09:45:34

Is it true that for a semisimple Lie algebra $\mathfrak{g}$, $[\mathfrak{g},\mathfrak{g}^e]\subset[e,\mathfrak{g}]$ for $e$ a regular nilpotent?

score 80 · Answer 2 · 2026-04-13 10:01:29

80

Views

Representations of a simply-connected non-compact Lie group induced from Lie algebra representations

Published on 13 Apr 2026 - 10:01

score 58 · Answer 3 · 2026-04-12 14:12:22

58

Views

Elementary consequences of the root system axioms

Published on 12 Apr 2026 - 14:12

score 19 · Answer 4 · 2026-03-25 23:39:18

19

Views

Producing a nontrivial proper ideal in the (Kac-Moody) Lie algebra $\mathfrak{g}(A)$

Published on 25 Mar 2026 - 23:39

score 100 · Answer 5 · 2026-03-28 21:27:06

100

Views

Short exact sequence of Lie Algebra representations

Published on 28 Mar 2026 - 21:27

score 88 · Answer 6 · 2026-04-12 02:50:30

88

Views

What is the unitary subset of Lie algebra $su(2)$?

Published on 12 Apr 2026 - 2:50

score 90 · Answer 7 · 2023-12-04 23:00:21

90

Views

Jacobi identity as a cocycle condition

Published on 04 Dec 2023 - 23:00

score 72 · Answer 8 · 2026-03-20 23:43:22

72

Views

Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

Published on 20 Mar 2026 - 23:43

score 73 · Answer 9 · 2026-04-03 09:09:21

73

Views

Book on $SL(2,C)$

Published on 03 Apr 2026 - 9:09

score 45 · Answer 10 · 2026-04-13 12:47:57

45

Views

On the Killing splitting of some algebras

Published on 13 Apr 2026 - 12:47

score 81 · Answer 11 · 2026-04-10 00:43:47

81

Views

What it the group of transformation that leaves the commutator of two matrices invariant?

Published on 10 Apr 2026 - 0:43

score 71 · Answer 12 · 2023-12-08 18:14:22

71

Views

Representation Theory of sl(5,C)

Published on 08 Dec 2023 - 18:14

score 37 · Answer 13 · 2026-03-25 17:52:00

37

Views

How to find restriction matrix for branching?

Published on 25 Mar 2026 - 17:52

score 99 · Answer 14 · 2023-12-10 11:18:00

99

Views

Dimension of $\mathfrak{sp}(2n, \mathbb{R})$

Published on 10 Dec 2023 - 11:18

score 190 · Answer 15 · 2023-12-10 15:27:54

190

Views

Probability measures on the hypersphere $\Bbb S^{n-1}$ and the $O(n)$ isomorphisms

Published on 10 Dec 2023 - 15:27

List Question

Is it true that for a semisimple Lie algebra $\mathfrak{g}$, $[\mathfrak{g},\mathfrak{g}^e]\subset[e,\mathfrak{g}]$ for $e$ a regular nilpotent?

Representations of a simply-connected non-compact Lie group induced from Lie algebra representations

Elementary consequences of the root system axioms

Producing a nontrivial proper ideal in the (Kac-Moody) Lie algebra $\mathfrak{g}(A)$

Short exact sequence of Lie Algebra representations

What is the unitary subset of Lie algebra $su(2)$?

Jacobi identity as a cocycle condition

Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

Book on $SL(2,C)$

On the Killing splitting of some algebras

What it the group of transformation that leaves the commutator of two matrices invariant?

Representation Theory of sl(5,C)

How to find restriction matrix for branching?

Dimension of $\mathfrak{sp}(2n, \mathbb{R})$

Probability measures on the hypersphere $\Bbb S^{n-1}$ and the $O(n)$ isomorphisms

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