Question

Topology on the Lie-group based on the Lie algebra

score 40 · Answer 1 · 2018-08-28 23:39:39

40

Views

Topology on the Lie-group based on the Lie algebra

Published on 28 Aug 2018 - 23:39

score 85 · Answer 2 · 2018-08-31 05:11:53

85

Views

Trouble understanding "orthogonal characters" and "basis of $Cl(g)$"

Published on 31 Aug 2018 - 5:11

score 154 · Answer 3 · 2018-08-31 13:39:17

154

Views

What would be an example of characters forming a complete, orthogonal basis for class functions?

Published on 31 Aug 2018 - 13:39

score 47 · Answer 4 · 2026-03-25 01:18:19

47

Views

When does a representation of a compact Lie group extend to an extension of the group?

Published on 25 Mar 2026 - 1:18

score 368 · Answer 5 · 2026-03-25 19:23:41

368

Views

A Lie algebra with trivial center and commutative radical

Published on 25 Mar 2026 - 19:23

score 284 · Answer 6 · 2018-09-01 03:47:36

284

Views

If $D$ is a derivation of a Lie Algebra, and $D X = \lambda X$ $\Rightarrow$ $\text{ad}(X)$ is nilpotent

Published on 01 Sep 2018 - 3:47

score 222 · Answer 7 · 2026-03-25 09:29:24

222

Views

The center of an algebraic group when the unipotent radical is abelian

Published on 25 Mar 2026 - 9:29

score 44 · Answer 8 · 2018-09-01 07:50:45

44

Views

An example of a Lie algebra with $[R,S]=R$

Published on 01 Sep 2018 - 7:50

score 22 · Answer 9 · 2018-09-01 08:16:48

22

Views

Is $w^{-1} e_{\alpha} w = e_{w^{-1}(\alpha)}$?

Published on 01 Sep 2018 - 8:16

score 56 · Answer 10 · 2018-09-01 11:46:40

56

Views

Showing that $\mathbb{C}^2$ is irreducible as an $\mathfrak{sl}_2(\mathbb{C})$-module

Published on 01 Sep 2018 - 11:46

score 72 · Answer 11 · 2026-03-24 22:27:20

72

Views

Action of quadratic Casimir on cochain/cohomology spaces

Published on 24 Mar 2026 - 22:27

score 135 · Answer 12 · 2026-03-25 22:06:24

135

Views

Cotangent bundle of the flag variety $T^\ast \mathcal{B}$ as complex and real symplectic manifold?

Published on 25 Mar 2026 - 22:06

score 187 · Answer 13 · 2026-03-25 07:43:43

187

Views

How to understand this picture of E8?

Published on 25 Mar 2026 - 7:43

score 337 · Answer 14 · 2018-09-02 14:30:02

337

Views

Dimension of Lie algebra and Lie group

Published on 02 Sep 2018 - 14:30

score 75 · Answer 15 · 2018-09-02 18:59:50

75

Views

If $\mathfrak g$ has an invertible derivation, then $\mathfrak g$ is nilpotent.

Published on 02 Sep 2018 - 18:59

List Question

Topology on the Lie-group based on the Lie algebra

Trouble understanding "orthogonal characters" and "basis of $Cl(g)$"

What would be an example of characters forming a complete, orthogonal basis for class functions?

When does a representation of a compact Lie group extend to an extension of the group?

A Lie algebra with trivial center and commutative radical

If $D$ is a derivation of a Lie Algebra, and $D X = \lambda X$ $\Rightarrow$ $\text{ad}(X)$ is nilpotent

The center of an algebraic group when the unipotent radical is abelian

An example of a Lie algebra with $[R,S]=R$

Is $w^{-1} e_{\alpha} w = e_{w^{-1}(\alpha)}$?

Showing that $\mathbb{C}^2$ is irreducible as an $\mathfrak{sl}_2(\mathbb{C})$-module

Action of quadratic Casimir on cochain/cohomology spaces

Cotangent bundle of the flag variety $T^\ast \mathcal{B}$ as complex and real symplectic manifold?

How to understand this picture of E8?

Dimension of Lie algebra and Lie group

If $\mathfrak g$ has an invertible derivation, then $\mathfrak g$ is nilpotent.

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