List questions from group-actions

Published on 30 Nov 2023 - 8:50

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Understanding how elements in the error group induce different actions on characters

Published on 27 Mar 2026 - 7:12

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Universal coefficient theorem for a surface groups

Published on 23 Feb 2026 - 3:54

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details in the proof: G a commutative Lie group and $(\pi, V)$ a finite-dim unitary representation of G. Then $\pi$ is irreducible iff dim $V = 1$

Published on 29 Mar 2026 - 15:16

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Exponent of a semi-direct product of nilpotent groups

Published on 25 Mar 2026 - 4:40

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G abelian Lie group, $(\pi, V)$ a finite-dim unitary rep. $\exists $ mutually orthog. 1-dim invariant linear subspaces s.t $V= \bigoplus_i V_i$

Published on 29 Mar 2026 - 15:16

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Continuity and a differential form

Published on 01 Dec 2023 - 15:26

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When is the natural representation of the real/complex group $SO(n)$ on $\Bbb R^n $/$\Bbb C^n $ unitary?

Published on 02 Dec 2023 - 11:22

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Definition of smooth action

Published on 03 Dec 2023 - 1:20

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Extension of pseudo-orbit for continuous action

Published on 04 Dec 2023 - 21:43

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Notation for orbits in Ergodic Theory

Published on 29 Mar 2026 - 22:25

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Transitive Galois action on the set of prime ideals

Published on 26 Mar 2026 - 8:03

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Category of group actions

Published on 12 Dec 2023 - 15:37

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How Cayley diagram change without requirement that actions are determined?

Published on 26 Mar 2026 - 6:21

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Group action of Free Product Group

Published on 25 Mar 2026 - 19:05

List Question

Why is $ V \longrightarrow V: v \mapsto \pi(g)(v)$ an endomorphism of $G$-modules?

Understanding how elements in the error group induce different actions on characters

Universal coefficient theorem for a surface groups

details in the proof: G a commutative Lie group and $(\pi, V)$ a finite-dim unitary representation of G. Then $\pi$ is irreducible iff dim $V = 1$

Exponent of a semi-direct product of nilpotent groups

G abelian Lie group, $(\pi, V)$ a finite-dim unitary rep. $\exists $ mutually orthog. 1-dim invariant linear subspaces s.t $V= \bigoplus_i V_i$

Continuity and a differential form

When is the natural representation of the real/complex group $SO(n)$ on $\Bbb R^n $/$\Bbb C^n $ unitary?

Definition of smooth action

Extension of pseudo-orbit for continuous action

Notation for orbits in Ergodic Theory

Transitive Galois action on the set of prime ideals

Category of group actions

How Cayley diagram change without requirement that actions are determined?

Group action of Free Product Group

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