Question

Relation between semisimple Lie algebra completely reducibility and semisimple ring

score 259 · Answer 1 · 2026-03-23 06:39:27

259

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Relation between semisimple Lie algebra completely reducibility and semisimple ring

Published on 23 Mar 2026 - 6:39

score 439 · Answer 2 · 2026-03-26 04:30:46

439

Views

Lie algebra homomorphisms preserve semi-simplicity?

Published on 26 Mar 2026 - 4:30

score 297 · Answer 3 · 2026-03-23 06:51:36

297

Views

About root space decomposition of complex semisimple Lie algebra

Published on 23 Mar 2026 - 6:51

score 270 · Answer 4 · 2026-03-22 22:42:09

270

Views

For $\mathfrak{g}$ semisimple, is $[\mathfrak{g}, \mathfrak{g}] = \mathfrak{g}$.

Published on 22 Mar 2026 - 22:42

score 116 · Answer 5 · 2026-03-23 01:12:20

116

Views

If $\mathfrak{g} / I$ is semisimple, then is $\mathrm{rad}(\mathfrak{g}) \subset I$?

Published on 23 Mar 2026 - 1:12

score 233 · Answer 6 · 2026-03-23 01:45:31

233

Views

Comparison of Casimir elements

Published on 23 Mar 2026 - 1:45

score 237 · Answer 7 · 2026-03-22 18:11:34

237

Views

$\mathfrak{sl}_4(\mathbb{C})$ is semisimple

Published on 22 Mar 2026 - 18:11

score 2.3k · Answer 8 · 2026-03-23 15:23:53

2.3k

Views

When will two isomorphic Lie algebras have the same representation?

Published on 23 Mar 2026 - 15:23

score 50 · Answer 9 · 2026-03-23 14:35:06

50

Views

Do representations of semisimple Lie algebras have any non-zero weights?

Published on 23 Mar 2026 - 14:35

score 258 · Answer 10 · 2026-03-23 13:40:33

258

Views

Decomposition of semi-simple Lie algebra into simple lie algebra (or ideal?)

Published on 23 Mar 2026 - 13:40

score 379 · Answer 11 · 2026-03-25 11:16:10

379

Views

How can one determine the dimension of a Lie algebra from the attached root system?

Published on 25 Mar 2026 - 11:16

score 58 · Answer 12 · 2026-03-23 10:48:46

58

Views

Decomposition of homomorphism of semisimple.

Published on 23 Mar 2026 - 10:48

score 3.7k · Answer 13 · 2026-03-25 02:53:59

3.7k

Views

How are $SU(n)$, $SL(n)$ and $\mathfrak{sl}(n,\mathbb{C})$ related?

Published on 25 Mar 2026 - 2:53

score 487 · Answer 14 · 2026-03-22 16:41:12

487

Views

Third cohomology group of a simple Lie algebra

Published on 22 Mar 2026 - 16:41

score 57 · Answer 15 · 2026-03-26 02:55:54

57

Views

Fake proof: there are no highest weights for representations of $\mathfrak{sl}(2)$

Published on 26 Mar 2026 - 2:55

List Question

Relation between semisimple Lie algebra completely reducibility and semisimple ring

Lie algebra homomorphisms preserve semi-simplicity?

About root space decomposition of complex semisimple Lie algebra

For $\mathfrak{g}$ semisimple, is $[\mathfrak{g}, \mathfrak{g}] = \mathfrak{g}$.

If $\mathfrak{g} / I$ is semisimple, then is $\mathrm{rad}(\mathfrak{g}) \subset I$?

Comparison of Casimir elements

$\mathfrak{sl}_4(\mathbb{C})$ is semisimple

When will two isomorphic Lie algebras have the same representation?

Do representations of semisimple Lie algebras have any non-zero weights?

Decomposition of semi-simple Lie algebra into simple lie algebra (or ideal?)

How can one determine the dimension of a Lie algebra from the attached root system?

Decomposition of homomorphism of semisimple.

How are $SU(n)$, $SL(n)$ and $\mathfrak{sl}(n,\mathbb{C})$ related?

Third cohomology group of a simple Lie algebra

Fake proof: there are no highest weights for representations of $\mathfrak{sl}(2)$

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