Question

Why the commutator of two elements is in the Cartan subalgebra?

score 198 · Answer 1 · 2026-03-25 17:39:24

198

Views

Why the commutator of two elements is in the Cartan subalgebra?

Published on 25 Mar 2026 - 17:39

score 132 · Answer 2 · 2026-03-27 16:47:43

132

Views

How to make a category of irreducible representations a monoidal category?

Published on 27 Mar 2026 - 16:47

score 90 · Answer 3 · 2019-08-26 23:19:17

90

Views

Irreducibility of the $\mathfrak{g}$-module $\mathfrak{o}(k)/ad(\mathfrak{g})$

Published on 26 Aug 2019 - 23:19

score 55 · Answer 4 · 2026-04-01 03:09:57

55

Views

Why is derivation $D$ on bilinear form $C:V\times V\to K$ is defined as $C(DX,Y)+C(X,DY)=0$?

Published on 01 Apr 2026 - 3:09

score 101 · Answer 5 · 2026-03-23 06:25:00

101

Views

Reference Request - Cohomology of the Lie algebra $\mathfrak{u}(n)$ over a finite field?

Published on 23 Mar 2026 - 6:25

score 108 · Answer 6 · 2026-04-01 04:36:20

108

Views

Lie group not related to matrix group

Published on 01 Apr 2026 - 4:36

score 143 · Answer 7 · 2019-08-31 12:41:49

143

Views

Finding a submodule of an $\frak{sl(2;\mathbb{C})}$ Module.

Published on 31 Aug 2019 - 12:41

score 263 · Answer 8 · 2026-03-26 04:30:56

263

Views

Parabolic subgroups of real semisimple Lie groups

Published on 26 Mar 2026 - 4:30

score 168 · Answer 9 · 2026-03-27 16:47:48

168

Views

How the quotients of central series forms a Lie algebra

Published on 27 Mar 2026 - 16:47

score 222 · Answer 10 · 2026-03-26 04:37:58

222

Views

What is the motivation behind the definition of a distribution on an algebraic group

Published on 26 Mar 2026 - 4:37

score 1.6k · Answer 11 · 2026-04-01 04:37:15

1.6k

Views

What is the adjoint representation of $\operatorname{GL}_n(\mathbb{R})$?

Published on 01 Apr 2026 - 4:37

score 189 · Answer 12 · 2019-09-04 15:49:59

189

Views

Representation of $\mathcal{sl}_2$ and the sequence of the weight space dimensions

Published on 04 Sep 2019 - 15:49

score 168 · Answer 13 · 2026-03-25 17:40:41

168

Views

What does Bourbaki mean by displacement in Lie Groups and Lie Algebras chapter 4-6

Published on 25 Mar 2026 - 17:40

score 694 · Answer 14 · 2026-03-25 20:41:32

694

Views

Where does non-reduced root system come up?

Published on 25 Mar 2026 - 20:41

score 393 · Answer 15 · 2026-04-01 04:38:18

393

Views

Is $SU(3)$ generated by the exponentials of the Gell-Mann matrices?

Published on 01 Apr 2026 - 4:38

List Question

Why the commutator of two elements is in the Cartan subalgebra?

How to make a category of irreducible representations a monoidal category?

Irreducibility of the $\mathfrak{g}$-module $\mathfrak{o}(k)/ad(\mathfrak{g})$

Why is derivation $D$ on bilinear form $C:V\times V\to K$ is defined as $C(DX,Y)+C(X,DY)=0$?

Reference Request - Cohomology of the Lie algebra $\mathfrak{u}(n)$ over a finite field?

Lie group not related to matrix group

Finding a submodule of an $\frak{sl(2;\mathbb{C})}$ Module.

Parabolic subgroups of real semisimple Lie groups

How the quotients of central series forms a Lie algebra

What is the motivation behind the definition of a distribution on an algebraic group

What is the adjoint representation of $\operatorname{GL}_n(\mathbb{R})$?

Representation of $\mathcal{sl}_2$ and the sequence of the weight space dimensions

What does Bourbaki mean by displacement in Lie Groups and Lie Algebras chapter 4-6

Where does non-reduced root system come up?

Is $SU(3)$ generated by the exponentials of the Gell-Mann matrices?

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