List questions from lie-groups

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Holonomy bundle is a covering space

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184

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homomorphism between unitary groups

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On uniparametric subgroups of a Lie group

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113

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Is it true that if a Lie group act trivially on an open subset of a manifold the action of the group is trivial (on the whole manifold)?

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Find non-zero real numbers $a,b,c,d$ such that $a^2+c^2=b^2+d^2$ and $ab+cd=0$.

Published on 21 Mar 2026 - 3:23

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$SU(2)$ adjoint and fundamental transformations

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470

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A finite group G acts freely on a simply connected manifold M

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$SU(3)$ irreps decomposition in subgroup irreps

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153

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Tensors transformations under $so(4)$

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140

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factorization of the group SU(3)

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496

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Universal cover $\mathbb{S}^3 \rightarrow SO(3)$ through Quaternions.

Published on 24 Mar 2026 - 20:14

53

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How to prove that $w\lambda(h)=\lambda(w^{-1}(h))$?

Published on 25 Mar 2026 - 2:57

183

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How to realize the character group as a Lie/algebraic/topological group?

Published on 19 Mar 2026 - 20:34

201

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Killing field associate to an element in the Lie Algebra

Published on 23 Mar 2026 - 5:24

List Question

Best book to study Lie group theory

Holonomy bundle is a covering space

homomorphism between unitary groups

On uniparametric subgroups of a Lie group

Is it true that if a Lie group act trivially on an open subset of a manifold the action of the group is trivial (on the whole manifold)?

Find non-zero real numbers $a,b,c,d$ such that $a^2+c^2=b^2+d^2$ and $ab+cd=0$.

$SU(2)$ adjoint and fundamental transformations

A finite group G acts freely on a simply connected manifold M

$SU(3)$ irreps decomposition in subgroup irreps

Tensors transformations under $so(4)$

factorization of the group SU(3)

Universal cover $\mathbb{S}^3 \rightarrow SO(3)$ through Quaternions.

How to prove that $w\lambda(h)=\lambda(w^{-1}(h))$?

How to realize the character group as a Lie/algebraic/topological group?

Killing field associate to an element in the Lie Algebra

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