Question

PBW basis for quantum groups and braid group action

score 162 · Answer 1 · 2026-03-25 17:29:20

162

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PBW basis for quantum groups and braid group action

Published on 25 Mar 2026 - 17:29

score 121 · Answer 2 · 2026-04-03 22:58:35

121

Views

Find a matrix $X$ such that $\exp(X) = M$

Published on 03 Apr 2026 - 22:58

score 130 · Answer 3 · 2019-12-09 11:42:08

130

Views

Center of universal enveloping algebra

Published on 09 Dec 2019 - 11:42

score 53 · Answer 4 · 2026-03-28 20:53:44

53

Views

Angular momentum operators and representations of $\mathfrak{su}(2)$

Published on 28 Mar 2026 - 20:53

score 51 · Answer 5 · 2019-12-10 11:11:25

How to obtain the root $2 \alpha_6 + \alpha_1 + 2 \alpha_2 + 3 \alpha_3 + 2 \alpha_4 + \alpha_5$ in type $E_6$ root system by Weyl group action?

score 205 · Answer 6 · 2026-04-03 23:06:00

205

Views

Is the decomposition of finitely dimensional representation of a semisimple Lie algebra into irreducible ones unique?

Published on 03 Apr 2026 - 23:06

score 87 · Answer 7 · 2026-03-25 22:05:57

87

Views

What is the basis of the root space $\mathfrak g_\theta$, where $\theta = \alpha_1+\cdots+\alpha_n$?

Published on 25 Mar 2026 - 22:05

score 302 · Answer 8 · 2019-12-12 19:14:06

302

Views

Submodules of the tensor product of a representation and its dual

Published on 12 Dec 2019 - 19:14

score 150 · Answer 9 · 2026-03-26 23:10:58

150

Views

Semisimple algebras of simple Lie algebras and their quotients

Published on 26 Mar 2026 - 23:10

score 2.1k · Answer 10 · 2019-12-12 21:16:01

2.1k

Views

Adjoint representation of Sl(2,C)

Published on 12 Dec 2019 - 21:16

score 156 · Answer 11 · 2019-12-16 00:14:27

156

Views

verify these three differential operators form a lie algebra

Published on 16 Dec 2019 - 0:14

score 141 · Answer 12 · 2019-12-16 18:17:29

141

Views

Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.

Published on 16 Dec 2019 - 18:17

score 214 · Answer 13 · 2019-12-16 22:10:41

214

Views

Automorphisms of a Lie algebra.

Published on 16 Dec 2019 - 22:10

score 522 · Answer 14 · 2026-04-04 00:39:32

522

Views

Show that the Lie algebra of $\operatorname{Aut}(\mathfrak{g})$ is given by $\operatorname{Der}(\mathfrak{g})$.

Published on 04 Apr 2026 - 0:39

score 371 · Answer 15 · 2019-12-18 03:02:19

Why must the tensor product of the adjoint representation with any arbitrary nontrivial representation D contain D for any Lie group?

List Question

PBW basis for quantum groups and braid group action

Find a matrix $X$ such that $\exp(X) = M$

Center of universal enveloping algebra

Angular momentum operators and representations of $\mathfrak{su}(2)$

How to obtain the root $2 \alpha_6 + \alpha_1 + 2 \alpha_2 + 3 \alpha_3 + 2 \alpha_4 + \alpha_5$ in type $E_6$ root system by Weyl group action?

Is the decomposition of finitely dimensional representation of a semisimple Lie algebra into irreducible ones unique?

What is the basis of the root space $\mathfrak g_\theta$, where $\theta = \alpha_1+\cdots+\alpha_n$?

Submodules of the tensor product of a representation and its dual

Semisimple algebras of simple Lie algebras and their quotients

Adjoint representation of Sl(2,C)

verify these three differential operators form a lie algebra

Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.

Automorphisms of a Lie algebra.

Show that the Lie algebra of $\operatorname{Aut}(\mathfrak{g})$ is given by $\operatorname{Der}(\mathfrak{g})$.

Why must the tensor product of the adjoint representation with any arbitrary nontrivial representation D contain D for any Lie group?

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