Question

Why is left-invariant vector fields needed to construct a Lie algebra from a Lie group?

score 167 · Answer 1 · 2026-04-22 16:12:43

167

Views

Why is left-invariant vector fields needed to construct a Lie algebra from a Lie group?

Published on 22 Apr 2026 - 16:12

score 45 · Answer 2 · 2026-04-12 09:45:25

45

Views

How to prove $e^{π(ω)} = cos(ω)I_3 + (1 − cos(ω))ωˆ ⊗ ωˆ + sin(ω)π(ωˆ )$?

Published on 12 Apr 2026 - 9:45

score 1.3k · Answer 3 · 2026-04-10 12:55:37

1.3k

Views

Are unipotent algebraic groups connected?

Published on 10 Apr 2026 - 12:55

score 2.9k · Answer 4 · 2026-04-10 04:34:34

2.9k

Views

What is the Lie group smooth structure of quaternions?

Published on 10 Apr 2026 - 4:34

score 411 · Answer 5 · 2026-04-18 17:58:59

411

Views

Lie group. How is manifold defined?

Published on 18 Apr 2026 - 17:58

score 95 · Answer 6 · 2026-04-09 16:57:04

95

Views

Diffeomorphism in Lie Group

Published on 09 Apr 2026 - 16:57

score 5.7k · Answer 7 · 2026-04-20 15:52:08

5.7k

Views

What is the differential of left translation?

Published on 20 Apr 2026 - 15:52

score 3.2k · Answer 8 · 2026-04-22 16:08:48

3.2k

Views

Normal Subgroups of $SU(n)$

Published on 22 Apr 2026 - 16:08

score 1.2k · Answer 9 · 2026-04-22 16:11:36

1.2k

Views

Clarification on notation of "left invariant fields" (Lie groups)

Published on 22 Apr 2026 - 16:11

score 351 · Answer 10 · 2026-04-11 22:30:05

351

Views

Inverting the the decomposition of tensor product representation into irreps

Published on 11 Apr 2026 - 22:30

score 289 · Answer 11 · 2026-04-22 16:16:07

289

Views

Why for simple roots in Lie algebras the master formula reduces to one integer?

Published on 22 Apr 2026 - 16:16

score 5.7k · Answer 12 · 2026-04-16 10:15:15

5.7k

Views

$S^2=SO(3)/SO(2)$. Does this mean that $S^2 = SU(2)/U(1) $?

Published on 16 Apr 2026 - 10:15

score 512 · Answer 13 · 2026-04-22 16:18:24

512

Views

Are there pairs of matrices whose nested commutators don't vanish?

Published on 22 Apr 2026 - 16:18

score 134 · Answer 14 · 2026-03-25 06:03:19

134

Views

Isomorphism of Principal Bundles with structure groupoid

Published on 25 Mar 2026 - 6:03

score 1.8k · Answer 15 · 2026-04-22 16:11:34

1.8k

Views

İf x is diagonalizable then ad(x) is also diagonalizable

Published on 22 Apr 2026 - 16:11

List Question

Why is left-invariant vector fields needed to construct a Lie algebra from a Lie group?

How to prove $e^{π(ω)} = cos(ω)I_3 + (1 − cos(ω))ωˆ ⊗ ωˆ + sin(ω)π(ωˆ )$?

Are unipotent algebraic groups connected?

What is the Lie group smooth structure of quaternions?

Lie group. How is manifold defined?

Diffeomorphism in Lie Group

What is the differential of left translation?

Normal Subgroups of $SU(n)$

Clarification on notation of "left invariant fields" (Lie groups)

Inverting the the decomposition of tensor product representation into irreps

Why for simple roots in Lie algebras the master formula reduces to one integer?

$S^2=SO(3)/SO(2)$. Does this mean that $S^2 = SU(2)/U(1) $?

Are there pairs of matrices whose nested commutators don't vanish?

Isomorphism of Principal Bundles with structure groupoid

İf x is diagonalizable then ad(x) is also diagonalizable

Trending Questions

Popular # Hahtags

Popular Questions