Question

Showing that the Witt algebra $W(1)$ is isomorphic to $\mathfrak{sl}(2,\mathbb{k})$

score 152 · Answer 1 · 2026-04-14 11:35:23

152

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Showing that the Witt algebra $W(1)$ is isomorphic to $\mathfrak{sl}(2,\mathbb{k})$

Published on 14 Apr 2026 - 11:35

score 96 · Answer 2 · 2026-04-14 01:32:15

96

Views

Finding lower central series of Lie algebra L

Published on 14 Apr 2026 - 1:32

score 55 · Answer 3 · 2026-04-11 23:18:36

55

Views

Is there a general method to calculate the generators of the subgroups of $\textrm{GL}(n,F)$?

Published on 11 Apr 2026 - 23:18

score 193 · Answer 4 · 2026-04-11 20:47:43

193

Views

Showing a linear combination of matrices is nilpotent for any constants

Published on 11 Apr 2026 - 20:47

score 269 · Answer 5 · 2026-04-10 13:12:47

269

Views

finding eigenvalues and eigenspaces of a linear operator

Published on 10 Apr 2026 - 13:12

score 2.6k · Answer 6 · 2026-04-10 06:43:11

2.6k

Views

direct sum and tensor product of representation of lie algebra

Published on 10 Apr 2026 - 6:43

score 576 · Answer 7 · 2026-04-08 23:17:00

576

Views

Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?

Published on 08 Apr 2026 - 23:17

score 462 · Answer 8 · 2026-04-14 13:09:39

462

Views

Write down the explicit form of the $15$ Killing vectors of the 5-sphere

Published on 14 Apr 2026 - 13:09

score 178 · Answer 9 · 2026-04-14 16:58:23

178

Views

Why is ${\bf N}\otimes\bar{\bf N} \cong{\bf 1}\oplus\text{(the adjoint representation)}$?

Published on 14 Apr 2026 - 16:58

score 459 · Answer 10 · 2026-04-14 00:59:48

459

Views

Why not every homogeneous manifold is parallelizable?

Published on 14 Apr 2026 - 0:59

score 543 · Answer 11 · 2026-04-14 21:56:44

543

Views

Killing form of a reductive symmetric Lie algebra

Published on 14 Apr 2026 - 21:56

score 257 · Answer 12 · 2026-03-25 04:41:47

257

Views

How to descent to smaller groups "by chopping off a node of the Dynkin diagram"?

Published on 25 Mar 2026 - 4:41

score 491 · Answer 13 · 2026-04-11 18:14:11

491

Views

Can we represent the curl as a multiplication by skew-symmetric matrix?

Published on 11 Apr 2026 - 18:14

score 83 · Answer 14 · 2026-04-12 02:05:46

83

Views

Can the adjoint representation on a discrete centered group merge connected components?

Published on 12 Apr 2026 - 2:05

score 330 · Answer 15 · 2026-04-14 19:52:10

330

Views

Lie algebra, maximal toral sub-algebra

Published on 14 Apr 2026 - 19:52

List Question

Showing that the Witt algebra $W(1)$ is isomorphic to $\mathfrak{sl}(2,\mathbb{k})$

Finding lower central series of Lie algebra L

Is there a general method to calculate the generators of the subgroups of $\textrm{GL}(n,F)$?

Showing a linear combination of matrices is nilpotent for any constants

finding eigenvalues and eigenspaces of a linear operator

direct sum and tensor product of representation of lie algebra

Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?

Write down the explicit form of the $15$ Killing vectors of the 5-sphere

Why is ${\bf N}\otimes\bar{\bf N} \cong{\bf 1}\oplus\text{(the adjoint representation)}$?

Why not every homogeneous manifold is parallelizable?

Killing form of a reductive symmetric Lie algebra

How to descent to smaller groups "by chopping off a node of the Dynkin diagram"?

Can we represent the curl as a multiplication by skew-symmetric matrix?

Can the adjoint representation on a discrete centered group merge connected components?

Lie algebra, maximal toral sub-algebra

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