Question

Prove that if $M$ is simply connected and $H^2(g) = 0$, then $M$ is symplectomorphic to an adjoint orbit.

score 69 · Answer 1 · 2026-03-28 14:00:23

69

Views

Prove that if $M$ is simply connected and $H^2(g) = 0$, then $M$ is symplectomorphic to an adjoint orbit.

Published on 28 Mar 2026 - 14:00

score 51 · Answer 2 · 2023-05-21 16:05:23

51

Views

Show that if $\left|G\right|=\left|X\right|$, so there exist a group-action $G\times X\rightarrow X$ which is free and transitive

Published on 21 May 2023 - 16:05

score 65 · Answer 3 · 2026-03-28 14:00:28

65

Views

Prove that the natural action of $G$ on $\mathbb{C}^2$ is Hamiltonian with the moment map $µ$

Published on 28 Mar 2026 - 14:00

score 155 · Answer 4 · 2026-03-25 11:58:00

155

Views

Orbifold signature and fundamental tile of Escher's Circle Limit IV

Published on 25 Mar 2026 - 11:58

score 213 · Answer 5 · 2026-02-23 08:27:43

213

Views

Let $G$ a simple group. Suppose exists a conjugacy class $C$ in $G$ such that $C \neq\{e\}$ is finite. Prove $G$ is finite.

Published on 23 Feb 2026 - 8:27

score 105 · Answer 6 · 2023-05-26 12:12:14

105

Views

Relation between the regular representation and the group algebra.

Published on 26 May 2023 - 12:12

score 142 · Answer 7 · 2026-03-27 01:43:45

142

Views

When can we divide characters in character table?

Published on 27 Mar 2026 - 1:43

score 103 · Answer 8 · 2026-03-26 20:44:11

103

Views

Number of fixed points of elements of a dihedral group

Published on 26 Mar 2026 - 20:44

score 52 · Answer 9 · 2026-03-25 17:29:16

52

Views

Additional symmetries in a theta-like function

Published on 25 Mar 2026 - 17:29

score 74 · Answer 10 · 2026-03-29 07:37:30

74

Views

If $H\leq G$ and $G$ has a Sylow $p$-subgroup, then so does $H$

Published on 29 Mar 2026 - 7:37

score 386 · Answer 11 · 2026-03-26 09:38:22

386

Views

Unique fixed point in a group action

Published on 26 Mar 2026 - 9:38

score 52 · Answer 12 · 2023-05-31 21:37:59

52

Views

Properties of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$-orbits

Published on 31 May 2023 - 21:37

score 37 · Answer 13 · 2026-03-29 11:00:10

37

Views

Countable p.m.p. equivalence relation from group actions

Published on 29 Mar 2026 - 11:00

score 44 · Answer 14 · 2023-06-03 08:54:38

44

Views

Is there a natural object to think of the dicyclic groups as acting on?

Published on 03 Jun 2023 - 8:54

score 12 · Answer 15 · 2026-03-30 14:01:13

12

Views

compact operatos on separable Hilbert spaces with group action are homotopyequivalent?

Published on 30 Mar 2026 - 14:01

List Question

Prove that if $M$ is simply connected and $H^2(g) = 0$, then $M$ is symplectomorphic to an adjoint orbit.

Show that if $\left|G\right|=\left|X\right|$, so there exist a group-action $G\times X\rightarrow X$ which is free and transitive

Prove that the natural action of $G$ on $\mathbb{C}^2$ is Hamiltonian with the moment map $µ$

Orbifold signature and fundamental tile of Escher's Circle Limit IV

Let $G$ a simple group. Suppose exists a conjugacy class $C$ in $G$ such that $C \neq\{e\}$ is finite. Prove $G$ is finite.

Relation between the regular representation and the group algebra.

When can we divide characters in character table?

Number of fixed points of elements of a dihedral group

Additional symmetries in a theta-like function

If $H\leq G$ and $G$ has a Sylow $p$-subgroup, then so does $H$

Unique fixed point in a group action

Properties of $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$-orbits

Countable p.m.p. equivalence relation from group actions

Is there a natural object to think of the dicyclic groups as acting on?

compact operatos on separable Hilbert spaces with group action are homotopyequivalent?

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