Question

Root space decomposition of Lie subgroups

score 177 · Answer 1 · 2026-03-26 12:51:58

177

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Root space decomposition of Lie subgroups

Published on 26 Mar 2026 - 12:51

score 56 · Answer 2 · 2026-03-27 07:58:22

56

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Adjoint of Translation Functors in Category O

Published on 27 Mar 2026 - 7:58

score 69 · Answer 3 · 2026-03-28 01:46:22

69

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Generators and relations for $\mathfrak{sl}(N, \mathbb{C}[t])$

Published on 28 Mar 2026 - 1:46

score 156 · Answer 4 · 2023-09-22 15:40:46

156

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Kernel of an irreducible representation on the direct sum of two semisimple Lie algebras

Published on 22 Sep 2023 - 15:40

score 98 · Answer 5 · 2026-03-26 14:34:42

98

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Are the weights of an irreducible representation of a complex semisimple algebra induced by the weights of a representation of $SL(N)$ for some $N$?

Published on 26 Mar 2026 - 14:34

score 76 · Answer 6 · 2023-10-26 18:11:09

76

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Help using LiE computer package?

Published on 26 Oct 2023 - 18:11

score 64 · Answer 7 · 2023-11-07 15:13:46

64

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Do all maximally noncompact Cartan subalgebras in a real semisimple Lie algebra arise from split toral subalgebras?

Published on 07 Nov 2023 - 15:13

score 109 · Answer 8 · 2023-11-09 15:50:02

109

Views

Other direction of Weyl's theorem on semisimple Lie-algebras

Published on 09 Nov 2023 - 15:50

score 80 · Answer 9 · 2023-11-09 21:52:30

80

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Process for decomposing tensor products of Lie algebra representations into irreducibles?

Published on 09 Nov 2023 - 21:52

score 76 · Answer 10 · 2023-11-14 19:12:56

76

Views

$G$-equivariant map between Lie group representations

Published on 14 Nov 2023 - 19:12

score 68 · Answer 11 · 2023-11-15 23:44:51

68

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Vectors belonging to each component of decomposition of semi-simple Lie group representation

Published on 15 Nov 2023 - 23:44

score 70 · Answer 12 · 2023-11-16 19:30:25

70

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Simple modules of $\mathcal{g}\otimes\mathbb{C}[x]$ for a lie algebra $\mathcal{g}$

Published on 16 Nov 2023 - 19:30

score 98 · Answer 13 · 2026-03-26 16:06:54

98

Views

Two alternative descriptions of $\mathrm{so}_{2n}(\mathbb{C})$

Published on 26 Mar 2026 - 16:06

score 174 · Answer 14 · 2023-11-28 10:56:58

Is it true that for a semisimple Lie algebra $\mathfrak{g}$, $[\mathfrak{g},\mathfrak{g}^e]\subset[e,\mathfrak{g}]$ for $e$ a regular nilpotent?

score 72 · Answer 15 · 2026-03-20 23:43:22

72

Views

Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

Published on 20 Mar 2026 - 23:43

List Question

Root space decomposition of Lie subgroups

Adjoint of Translation Functors in Category O

Generators and relations for $\mathfrak{sl}(N, \mathbb{C}[t])$

Kernel of an irreducible representation on the direct sum of two semisimple Lie algebras

Are the weights of an irreducible representation of a complex semisimple algebra induced by the weights of a representation of $SL(N)$ for some $N$?

Help using LiE computer package?

Do all maximally noncompact Cartan subalgebras in a real semisimple Lie algebra arise from split toral subalgebras?

Other direction of Weyl's theorem on semisimple Lie-algebras

Process for decomposing tensor products of Lie algebra representations into irreducibles?

$G$-equivariant map between Lie group representations

Vectors belonging to each component of decomposition of semi-simple Lie group representation

Simple modules of $\mathcal{g}\otimes\mathbb{C}[x]$ for a lie algebra $\mathcal{g}$

Two alternative descriptions of $\mathrm{so}_{2n}(\mathbb{C})$

Is it true that for a semisimple Lie algebra $\mathfrak{g}$, $[\mathfrak{g},\mathfrak{g}^e]\subset[e,\mathfrak{g}]$ for $e$ a regular nilpotent?

Moving between $Sp_{2n}(\mathbb{C})$ reps and $SL_{n}(\mathbb{C})$ reps

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