Question

Schur multiplier of GL$(n,\mathbb{R})$ and SL$(n,\mathbb{R})$

score 85 · Answer 1 · 2019-12-14 21:38:23

85

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Schur multiplier of GL$(n,\mathbb{R})$ and SL$(n,\mathbb{R})$

Published on 14 Dec 2019 - 21:38

score 699 · Answer 2 · 2026-03-27 13:01:33

699

Views

Is the seven-dimensional cross product unique?

Published on 27 Mar 2026 - 13:01

score 362 · Answer 3 · 2026-03-25 22:05:58

362

Views

The center of the Spin group written in the matrix of Spinor representation

Published on 25 Mar 2026 - 22:05

score 93 · Answer 4 · 2019-12-15 14:21:27

93

Views

Which group is given by $\begin{pmatrix} e^{i\theta}&x\\0&e^{-i\theta}\end{pmatrix}$?

Published on 15 Dec 2019 - 14:21

score 43 · Answer 5 · 2026-03-27 02:34:17

43

Views

Does $O(n)$ have a proper normal subgroup that contains a reflection?

Published on 27 Mar 2026 - 2:34

score 44 · Answer 6 · 2026-03-25 23:42:14

44

Views

Write the $Z(SO(n))=\mathbb{Z}/2$ center subgroup in terms of the matrix of spinor representation of $Z(Spin(n))=\mathbb{Z}/4$ for $n = 2 \mod 4$

Published on 25 Mar 2026 - 23:42

score 168 · Answer 7 · 2019-12-16 03:36:13

168

Views

Question from Lee's proof that closed Lie subgroup is embedded. (Computation of differential of the group multiplication map)

Published on 16 Dec 2019 - 3:36

score 112 · Answer 8 · 2026-03-26 01:09:23

112

Views

How to compute the Weyl Character Formula

Published on 26 Mar 2026 - 1:09

score 84 · Answer 9 · 2026-04-02 23:40:37

84

Views

$G$ a Lie group with a $K$-bi-invariant metric for a closed Lie subgroup $K\subset G$

Published on 02 Apr 2026 - 23:40

score 521 · Answer 10 · 2019-12-16 23:28:09

521

Views

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

Published on 16 Dec 2019 - 23:28

score 2.9k · Answer 11 · 2019-12-17 04:15:20

2.9k

Views

Can a Lie group be discrete, or even finite?

Published on 17 Dec 2019 - 4:15

score 95 · Answer 12 · 2026-03-30 06:46:59

95

Views

Can an abelian subgroup of $SO(4)$ be diagonalised over $\mathbb{C}$?

Published on 30 Mar 2026 - 6:46

score 3.5k · Answer 13 · 2019-12-18 22:50:58

3.5k

Views

Can every manifold be turned into a Lie group?

Published on 18 Dec 2019 - 22:50

score 64 · Answer 14 · 2019-12-19 22:09:11

64

Views

If $X$ is homeomorphic to a Lie group, is $X$ is a manifold?

Published on 19 Dec 2019 - 22:09

score 129 · Answer 15 · 2026-03-26 02:52:20

129

Views

Do Sylow subgroups distinguish representations?

Published on 26 Mar 2026 - 2:52

List Question

Schur multiplier of GL$(n,\mathbb{R})$ and SL$(n,\mathbb{R})$

Is the seven-dimensional cross product unique?

The center of the Spin group written in the matrix of Spinor representation

Which group is given by $\begin{pmatrix} e^{i\theta}&x\\0&e^{-i\theta}\end{pmatrix}$?

Does $O(n)$ have a proper normal subgroup that contains a reflection?

Write the $Z(SO(n))=\mathbb{Z}/2$ center subgroup in terms of the matrix of spinor representation of $Z(Spin(n))=\mathbb{Z}/4$ for $n = 2 \mod 4$

Question from Lee's proof that closed Lie subgroup is embedded. (Computation of differential of the group multiplication map)

How to compute the Weyl Character Formula

$G$ a Lie group with a $K$-bi-invariant metric for a closed Lie subgroup $K\subset G$

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

Can a Lie group be discrete, or even finite?

Can an abelian subgroup of $SO(4)$ be diagonalised over $\mathbb{C}$?

Can every manifold be turned into a Lie group?

If $X$ is homeomorphic to a Lie group, is $X$ is a manifold?

Do Sylow subgroups distinguish representations?

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