Question

Extension of a semisimple Lie algebra with a semisimple Lie algebra is semisimple. Why?

score 223 · Answer 1 · 2026-03-22 10:51:55

223

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Extension of a semisimple Lie algebra with a semisimple Lie algebra is semisimple. Why?

Published on 22 Mar 2026 - 10:51

score 40 · Answer 2 · 2026-03-22 12:53:42

40

Views

Examples of ideals of non Noetherian Lie algebra

Published on 22 Mar 2026 - 12:53

score 52 · Answer 3 · 2026-03-22 03:26:57

52

Views

How is the Lie algebra $\mathfrak{sl}_{2}(\mathbb{C})$ generated by the one element $(E_{11} - E_{22})$?

Published on 22 Mar 2026 - 3:26

score 76 · Answer 4 · 2026-03-25 17:43:31

76

Views

Basic representation of a simple Lie algebra and its highest weight

Published on 25 Mar 2026 - 17:43

score 391 · Answer 5 · 2026-03-22 14:36:13

391

Views

What is the Killing form of the orthogonal Lie algebra $\mathfrak o(4)$?

Published on 22 Mar 2026 - 14:36

score 742 · Answer 6 · 2026-03-22 13:20:08

742

Views

Understanding the definition of semisimple Lie algebras in terms of ideals

Published on 22 Mar 2026 - 13:20

score 106 · Answer 7 · 2026-03-22 00:47:01

106

Views

Eigenvalues of spherical function on $\mathrm{SL}(2,\mathbb{R})$

Published on 22 Mar 2026 - 0:47

score 453 · Answer 8 · 2026-03-22 04:59:50

453

Views

Basis for lie algebra sl(n,F) : $\mathfrak{sl}(2,F)$

Published on 22 Mar 2026 - 4:59

score 153 · Answer 9 · 2026-03-21 19:16:41

153

Views

Holomorphic and antiholomorphic representation for $U(2)$ equivalent?

Published on 21 Mar 2026 - 19:16

score 110 · Answer 10 · 2026-03-27 13:25:23

110

Views

Weights of a faithful representation and roots of $\mathfrak{g}$

Published on 27 Mar 2026 - 13:25

score 80 · Answer 11 · 2026-03-21 18:15:22

80

Views

Does a representation being faithful on certain Lie subalgebras imply that this representation is faithful on the Lie algebra?

Published on 21 Mar 2026 - 18:15

score 1.1k · Answer 12 · 2020-09-15 06:23:14

1.1k

Views

Tensor product of simple modules over semisimple Lie algebras

Published on 15 Sep 2020 - 6:23

score 124 · Answer 13 · 2026-03-21 18:49:50

124

Views

Relation between Lie algebra being simple and its representation being irreducible

Published on 21 Mar 2026 - 18:49

score 425 · Answer 14 · 2026-03-26 09:36:48

425

Views

Which root systems admit a proper root subsystem with full span?

Published on 26 Mar 2026 - 9:36

score 125 · Answer 15 · 2026-02-23 04:36:12

125

Views

Casimir operator and Weibel

Published on 23 Feb 2026 - 4:36

List Question

Extension of a semisimple Lie algebra with a semisimple Lie algebra is semisimple. Why?

Examples of ideals of non Noetherian Lie algebra

How is the Lie algebra $\mathfrak{sl}_{2}(\mathbb{C})$ generated by the one element $(E_{11} - E_{22})$?

Basic representation of a simple Lie algebra and its highest weight

What is the Killing form of the orthogonal Lie algebra $\mathfrak o(4)$?

Understanding the definition of semisimple Lie algebras in terms of ideals

Eigenvalues of spherical function on $\mathrm{SL}(2,\mathbb{R})$

Basis for lie algebra sl(n,F) : $\mathfrak{sl}(2,F)$

Holomorphic and antiholomorphic representation for $U(2)$ equivalent?

Weights of a faithful representation and roots of $\mathfrak{g}$

Does a representation being faithful on certain Lie subalgebras imply that this representation is faithful on the Lie algebra?

Tensor product of simple modules over semisimple Lie algebras

Relation between Lie algebra being simple and its representation being irreducible

Which root systems admit a proper root subsystem with full span?

Casimir operator and Weibel

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