Question

Is it possible to find irreducible representations of $SO(3)$ without passing to lie algebras?

score 128 · Answer 1 · 2026-04-11 08:36:33

128

Views

Is it possible to find irreducible representations of $SO(3)$ without passing to lie algebras?

Published on 11 Apr 2026 - 8:36

score 90 · Answer 2 · 2026-04-11 22:53:27

90

Views

Heisenberg group is simply connected?

Published on 11 Apr 2026 - 22:53

score 121 · Answer 3 · 2026-04-13 11:59:03

121

Views

Lie's third theorem (global)

Published on 13 Apr 2026 - 11:59

score 112 · Answer 4 · 2026-04-12 21:31:03

112

Views

What happens if a Lie algebra is a direct sum of two Lie subalgebras?

Published on 12 Apr 2026 - 21:31

score 48 · Answer 5 · 2026-04-09 12:02:15

48

Views

Can a representation of Matrix Lie Groups be understood as an embedding?

Published on 09 Apr 2026 - 12:02

score 51 · Answer 6 · 2026-04-13 12:04:28

51

Views

Confusion regarding product of two lie groups and the generators

Published on 13 Apr 2026 - 12:04

score 160 · Answer 7 · 2026-04-13 00:38:46

160

Views

Is there any canonical way to find out the Lie group corresponding to a manifold?

Published on 13 Apr 2026 - 0:38

score 130 · Answer 8 · 2026-04-13 14:04:13

130

Views

What is the math behind upper and lower indices used when studying representations of $\mathrm{SU}(N)$?

Published on 13 Apr 2026 - 14:04

score 62 · Answer 9 · 2026-04-13 14:03:13

62

Views

Prove that the lie algebra $\mathfrak{so}(3)$ does not admit any two-dimensional Lie subalgebra.

Published on 13 Apr 2026 - 14:03

score 62 · Answer 10 · 2026-04-13 14:05:34

62

Views

Let $G$ be the group defined by $G = \{A \in \mathrm{GL}(2,\Bbb R) \mid A^tA=r^2I, r>0,\det A >0\}.$ Find the Lie algebra of $G$.

Published on 13 Apr 2026 - 14:05

score 39 · Answer 11 · 2026-04-12 18:08:43

39

Views

Representations of determinant-one subgroup of direct product

Published on 12 Apr 2026 - 18:08

score 35 · Answer 12 · 2026-04-11 06:46:25

35

Views

Characterize the spatial distribution of SE(3) transformations

Published on 11 Apr 2026 - 6:46

score 53 · Answer 13 · 2026-04-12 23:12:09

53

Views

proof the bi-invariant metrics of lie group G

Published on 12 Apr 2026 - 23:12

score 266 · Answer 14 · 2026-04-12 06:50:15

266

Views

All compact, connected, complex Lie groups are Abelian.

Published on 12 Apr 2026 - 6:50

score 101 · Answer 15 · 2026-04-13 14:04:10

101

Views

Real Lie subalgebras of o(3,1)

Published on 13 Apr 2026 - 14:04

List Question

Is it possible to find irreducible representations of $SO(3)$ without passing to lie algebras?

Heisenberg group is simply connected?

Lie's third theorem (global)

What happens if a Lie algebra is a direct sum of two Lie subalgebras?

Can a representation of Matrix Lie Groups be understood as an embedding?

Confusion regarding product of two lie groups and the generators

Is there any canonical way to find out the Lie group corresponding to a manifold?

What is the math behind upper and lower indices used when studying representations of $\mathrm{SU}(N)$?

Prove that the lie algebra $\mathfrak{so}(3)$ does not admit any two-dimensional Lie subalgebra.

Let $G$ be the group defined by $G = \{A \in \mathrm{GL}(2,\Bbb R) \mid A^tA=r^2I, r>0,\det A >0\}.$ Find the Lie algebra of $G$.

Representations of determinant-one subgroup of direct product

Characterize the spatial distribution of SE(3) transformations

proof the bi-invariant metrics of lie group G

All compact, connected, complex Lie groups are Abelian.

Real Lie subalgebras of o(3,1)

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