List questions from lie-groups

Published on 10 May 2026 - 16:13

69

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

Published on 10 May 2026 - 10:11

82

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

Published on 16 Apr 2026 - 16:43

37

Views

General form and basis for $B_2$

Published on 16 Apr 2026 - 14:47

200

Views

Discrete non-Abelian subgroups and invariants in a unitary group

Published on 14 Apr 2026 - 16:00

755

Views

Proof that the adjoint representation of a Lie group is linear

Published on 13 Apr 2026 - 13:16

531

Views

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

Published on 07 May 2026 - 13:35

147

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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 10 May 2026 - 17:15

59

Views

Simple compact special unitary Lie group and dihedral group

Published on 16 Apr 2026 - 21:03

27

Views

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

Published on 13 Apr 2026 - 1:01

517

Views

Adjoint rep of Heisenberg group

Published on 15 Apr 2026 - 14:37

41

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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 14 Apr 2026 - 22:48

132

Views

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

Published on 15 Apr 2026 - 5:49

258

Views

Labelling the representations of SO(n)

Published on 13 Apr 2026 - 4:26

52

Views

Reading request: induced representations & fiber bundles

Published on 10 May 2026 - 14:51

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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