List questions from lie-groups

Published on 22 Mar 2026 - 18:31

128

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Global fixed point for a compact group action?

Published on 16 Feb 2018 - 5:03

90

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How to calculate ad(X)?

Published on 16 Feb 2018 - 19:40

29

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Identify $\mathfrak{b}_+^*$ with $\mathfrak{b}_-$.

Published on 16 Feb 2018 - 20:28

65

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Does a finite $SU(2,q^2)$ act transitively on the set of rays?

Published on 24 Mar 2026 - 23:45

166

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Locally trivial bundle with fiber $O(n-1)$

Published on 23 Mar 2026 - 0:57

80

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Prove that $T=T_xR$ with $x\in \Bbb R^n$ and $R\in O(n)$

Published on 19 Feb 2018 - 12:42

190

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Rings as a particular case of Lie algebras

Published on 19 Feb 2018 - 15:38

1k

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Let $H$ be the Heisenberg group. Determine the center $Z(H)$ of $H$. Show that the quotient group $H/Z(H)$ is abelian.

Published on 25 Mar 2026 - 4:44

72

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Abelian algebraic groups?

Published on 19 Feb 2018 - 21:44

45

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What are the topological groups the points of which are separated by their finite-dimensional representations?

Published on 24 Mar 2026 - 22:08

36

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Reference Request- Closedness of Lie subgroups.

Published on 20 Feb 2018 - 0:51

252

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Simultaneous rotations

Published on 24 Mar 2026 - 22:09

442

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Show that $\exp: \mathfrak h \to \mathfrak H$ is a bijection.

Published on 22 Mar 2026 - 17:02

128

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Prove that 1. $\kappa(x,y)$ is a symmetric bilinear form? 2. $\kappa([x,y],z)=\kappa(x,[y,z])$

Published on 22 Mar 2026 - 16:38

List Question

A disk bundle whose projection is not a homotopy equivalence

Global fixed point for a compact group action?

How to calculate ad(X)?

Identify $\mathfrak{b}_+^*$ with $\mathfrak{b}_-$.

Does a finite $SU(2,q^2)$ act transitively on the set of rays?

Locally trivial bundle with fiber $O(n-1)$

Prove that $T=T_xR$ with $x\in \Bbb R^n$ and $R\in O(n)$

Rings as a particular case of Lie algebras

Let $H$ be the Heisenberg group. Determine the center $Z(H)$ of $H$. Show that the quotient group $H/Z(H)$ is abelian.

Abelian algebraic groups?

What are the topological groups the points of which are separated by their finite-dimensional representations?

Reference Request- Closedness of Lie subgroups.

Simultaneous rotations

Show that $\exp: \mathfrak h \to \mathfrak H$ is a bijection.

Prove that 1. $\kappa(x,y)$ is a symmetric bilinear form? 2. $\kappa([x,y],z)=\kappa(x,[y,z])$

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