Question

How do people compute the root systems of the classical Lie algebras?

score 189 · Answer 1 · 2026-04-10 23:38:26

189

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How do people compute the root systems of the classical Lie algebras?

Published on 10 Apr 2026 - 23:38

score 205 · Answer 2 · 2026-04-11 13:02:11

205

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Is the space $\widetilde{\mathrm{Sp}(4,\mathbb{R})}/\mathrm{SU}(2)$ a symmetric space?

Published on 11 Apr 2026 - 13:02

score 81 · Answer 3 · 2026-04-14 00:00:24

81

Views

Parameterization of the set of oriented rectangles

Published on 14 Apr 2026 - 0:00

score 108 · Answer 4 · 2026-04-14 08:58:42

108

Views

irreducible module has a nonzero weight space if and only if $u\left( H\right) \cdot v$ is finite dimensional for all $v\in V$

Published on 14 Apr 2026 - 8:58

score 25 · Answer 5 · 2026-04-09 10:59:32

25

Views

Representation theory for symmetries of probability distribution functions

Published on 09 Apr 2026 - 10:59

score 54 · Answer 6 · 2026-04-14 07:19:22

54

Views

Cyclic subgroups in Tori and its preimage in the Lie algebra under the exponential

Published on 14 Apr 2026 - 7:19

score 169 · Answer 7 · 2026-04-16 09:21:58

169

Views

Decomposing the universal enveloping algebra into a direct sum of irreducibles

Published on 16 Apr 2026 - 9:21

score 115 · Answer 8 · 2026-04-12 09:59:29

115

Views

Integral of a connected simply connected Lie group

Published on 12 Apr 2026 - 9:59

score 30 · Answer 9 · 2026-04-14 11:14:54

30

Views

Question regarding the relationship of solvability of Lie algebras and short exact sequences.

Published on 14 Apr 2026 - 11:14

score 46 · Answer 10 · 2026-04-16 17:03:01

46

Views

Maximal solvable ideals in infinite dimensional Lie algebras

Published on 16 Apr 2026 - 17:03

score 136 · Answer 11 · 2026-04-08 16:30:30

136

Views

Representations of semisimple lie algebras, the highest weight root strings spaces have dimension one

Published on 08 Apr 2026 - 16:30

score 48 · Answer 12 · 2026-04-15 13:01:10

48

Views

Any semisimple matrix group has a finite cover that's 'algebraically simply connected'

Published on 15 Apr 2026 - 13:01

score 43 · Answer 13 · 2026-04-15 13:30:14

43

Views

If two Lie groups $G_1 \cong G_2$, how can their minimal representations be complex and pseudoreal, differently?

Published on 15 Apr 2026 - 13:30

score 42 · Answer 14 · 2026-04-16 12:10:19

42

Views

Prove that $A\in Sp(2n,\mathbb{k})$ if and only if $A^{T}JA = J$ with $J=\begin{bmatrix}0 & -I \\\ I & 0\end{bmatrix}$

Published on 16 Apr 2026 - 12:10

score 52 · Answer 15 · 2026-04-11 06:29:18

52

Views

Is the following argument "Let $H$ be Lie group and an open subgroup of $G$ a Lie group, then $H$ is closed" true?

Published on 11 Apr 2026 - 6:29

List Question

How do people compute the root systems of the classical Lie algebras?

Is the space $\widetilde{\mathrm{Sp}(4,\mathbb{R})}/\mathrm{SU}(2)$ a symmetric space?

Parameterization of the set of oriented rectangles

irreducible module has a nonzero weight space if and only if $u\left( H\right) \cdot v$ is finite dimensional for all $v\in V$

Representation theory for symmetries of probability distribution functions

Cyclic subgroups in Tori and its preimage in the Lie algebra under the exponential

Decomposing the universal enveloping algebra into a direct sum of irreducibles

Integral of a connected simply connected Lie group

Question regarding the relationship of solvability of Lie algebras and short exact sequences.

Maximal solvable ideals in infinite dimensional Lie algebras

Representations of semisimple lie algebras, the highest weight root strings spaces have dimension one

Any semisimple matrix group has a finite cover that's 'algebraically simply connected'

If two Lie groups $G_1 \cong G_2$, how can their minimal representations be complex and pseudoreal, differently?

Prove that $A\in Sp(2n,\mathbb{k})$ if and only if $A^{T}JA = J$ with $J=\begin{bmatrix}0 & -I \\\ I & 0\end{bmatrix}$

Is the following argument "Let $H$ be Lie group and an open subgroup of $G$ a Lie group, then $H$ is closed" true?

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