List questions from lie-groups

Published on 24 Mar 2026 - 22:20

64

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Generated a non-Abelian group from a Lie group and nontrivial $\mathbb{Z}_2$ action

Published on 22 Mar 2026 - 7:57

79

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How to compute the exponential map of a manifold defined by constraints..

Published on 25 Mar 2026 - 12:33

35

Views

General form and basis for $B_2$

Published on 26 Mar 2026 - 3:01

198

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Discrete non-Abelian subgroups and invariants in a unitary group

Published on 26 Mar 2026 - 4:33

753

Views

Proof that the adjoint representation of a Lie group is linear

Published on 26 Mar 2026 - 3:02

523

Views

Is the classifying space of a non-compact Lie group equal the classifying space of the maximal compact subgroup?

Published on 19 Mar 2026 - 14:27

145

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why a particular map $f: \mathbb{S}^2 \times \mathbb{S}^1 \to SO(3)$ is not a homeomorphism?

Published on 25 Mar 2026 - 19:05

55

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Simple compact special unitary Lie group and dihedral group

Published on 26 Mar 2026 - 4:32

25

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Simple compact special unitary Lie group and dicyclic group Dic$_{k}$=Q$_{4k}$

Published on 26 Mar 2026 - 4:33

515

Views

Adjoint rep of Heisenberg group

Published on 26 Mar 2026 - 3:02

38

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Is a group $(G, \cdot)$, $G \subset \Bbb R^n$, such that $\cdot$ and the inversion are differentiable always a Lie Group?

Published on 15 Apr 2018 - 17:47

129

Views

how to construct an invariant metric of a torus or manifold SU(2)xU(1)

Published on 15 Apr 2018 - 21:41

256

Views

Labelling the representations of SO(n)

Published on 26 Mar 2026 - 3:07

44

Views

Reading request: induced representations & fiber bundles

Published on 25 Mar 2026 - 0:00

List Question

Lift of principal bundle over a compact Lie group

Generated a non-Abelian group from a Lie group and nontrivial $\mathbb{Z}_2$ action

How to compute the exponential map of a manifold defined by constraints..

General form and basis for $B_2$

Discrete non-Abelian subgroups and invariants in a unitary group

Proof that the adjoint representation of a Lie group is linear

Is the classifying space of a non-compact Lie group equal the classifying space of the maximal compact subgroup?

why a particular map $f: \mathbb{S}^2 \times \mathbb{S}^1 \to SO(3)$ is not a homeomorphism?

Simple compact special unitary Lie group and dihedral group

Simple compact special unitary Lie group and dicyclic group Dic$_{k}$=Q$_{4k}$

Adjoint rep of Heisenberg group

Is a group $(G, \cdot)$, $G \subset \Bbb R^n$, such that $\cdot$ and the inversion are differentiable always a Lie Group?

how to construct an invariant metric of a torus or manifold SU(2)xU(1)

Labelling the representations of SO(n)

Reading request: induced representations & fiber bundles

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