Question

How to show that the special orthochronus pseudo orthogonal group is the connected component of the identiy?

score 86 · Answer 1 · 2026-04-11 22:15:27

86

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How to show that the special orthochronus pseudo orthogonal group is the connected component of the identiy?

Published on 11 Apr 2026 - 22:15

score 229 · Answer 2 · 2026-03-27 14:21:46

229

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Logarithm map for Lie groups other than Matrix Lie groups

Published on 27 Mar 2026 - 14:21

score 52 · Answer 3 · 2026-03-31 07:07:08

52

Views

Is the Image of a Lie Group Action on a Submanifold also a Submanifold?

Published on 31 Mar 2026 - 7:07

score 44 · Answer 4 · 2026-04-12 03:00:43

44

Views

Representation for which group and subgroup have same isotypic decomposition

Published on 12 Apr 2026 - 3:00

score 53 · Answer 5 · 2026-04-12 01:47:21

53

Views

Every irreducible $ G $ subrep is an irreducible $ H $ subrep implies every $ H $ subrep is a $ G $ subrep.

Published on 12 Apr 2026 - 1:47

score 131 · Answer 6 · 2026-04-12 03:52:06

131

Views

Minimal Lie subalgebra generated

Published on 12 Apr 2026 - 3:52

score 48 · Answer 7 · 2026-04-09 12:01:02

48

Views

Branching rules and criterion for every $ H $ subrep to be a $ G $ subrep

Published on 09 Apr 2026 - 12:01

score 97 · Answer 8 · 2023-03-31 10:37:52

97

Views

Prove that any orientation preserving isometry preserving a symmetric, positive definite bilinear form belongs to $SO(n)$

Published on 31 Mar 2023 - 10:37

score 78 · Answer 9 · 2026-04-12 08:39:57

78

Views

Example of a non-unimodular Lie group with unimodular identity component

Published on 12 Apr 2026 - 8:39

score 82 · Answer 10 · 2026-04-08 21:08:19

82

Views

Equivalence of definitions of projective representations

Published on 08 Apr 2026 - 21:08

score 220 · Answer 11 · 2026-04-08 18:20:01

220

Views

Understanding the proof of the Springer correspondence

Published on 08 Apr 2026 - 18:20

score 84 · Answer 12 · 2026-04-12 04:35:25

84

Views

Proof verification: The adjoint representation of a Lie group is smooth

Published on 12 Apr 2026 - 4:35

score 69 · Answer 13 · 2026-03-25 19:05:04

69

Views

Existence of a principal bundle charts compatible with $f$-equivariant reductions

Published on 25 Mar 2026 - 19:05

score 63 · Answer 14 · 2026-03-31 22:30:43

63

Views

Isoclinic rotations in $\mathbb{R}^4$ are what subgroup of $SO(4)$?

Published on 31 Mar 2026 - 22:30

score 54 · Answer 15 · 2026-03-20 13:55:29

54

Views

Any element of a semisimple Lie group is conjugate (via the adjoint action) to an element in the Cartan subalgebra?

Published on 20 Mar 2026 - 13:55

List Question

How to show that the special orthochronus pseudo orthogonal group is the connected component of the identiy?

Logarithm map for Lie groups other than Matrix Lie groups

Is the Image of a Lie Group Action on a Submanifold also a Submanifold?

Representation for which group and subgroup have same isotypic decomposition

Every irreducible $ G $ subrep is an irreducible $ H $ subrep implies every $ H $ subrep is a $ G $ subrep.

Minimal Lie subalgebra generated

Branching rules and criterion for every $ H $ subrep to be a $ G $ subrep

Prove that any orientation preserving isometry preserving a symmetric, positive definite bilinear form belongs to $SO(n)$

Example of a non-unimodular Lie group with unimodular identity component

Equivalence of definitions of projective representations

Understanding the proof of the Springer correspondence

Proof verification: The adjoint representation of a Lie group is smooth

Existence of a principal bundle charts compatible with $f$-equivariant reductions

Isoclinic rotations in $\mathbb{R}^4$ are what subgroup of $SO(4)$?

Any element of a semisimple Lie group is conjugate (via the adjoint action) to an element in the Cartan subalgebra?

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