Question

Chapter 1, Exercise 12 in Brian Hall's Lie groups, Lie algebras, and representations.

score 485 · Answer 1 · 2026-04-15 02:29:21

485

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Chapter 1, Exercise 12 in Brian Hall's Lie groups, Lie algebras, and representations.

Published on 15 Apr 2026 - 2:29

score 235 · Answer 2 · 2026-04-14 09:56:53

235

Views

Motivation for the exponential in the definition of and element of a Lie group?

Published on 14 Apr 2026 - 9:56

score 180 · Answer 3 · 2026-04-09 20:30:38

180

Views

Is $SU(n)\to GL(n,\mathbb C)$ an irreducible representation?

Published on 09 Apr 2026 - 20:30

score 237 · Answer 4 · 2026-04-14 13:15:55

237

Views

Dimension of a Lie group associated to a finite group

Published on 14 Apr 2026 - 13:15

score 98 · Answer 5 · 2026-04-14 17:29:38

98

Views

The canonical metric on the space of lattices in $\mathbb R^n$

Published on 14 Apr 2026 - 17:29

score 580 · Answer 6 · 2026-04-12 23:57:47

580

Views

What is wrong with the following formation of a killing form or metric matrix for sl(2,r)?

Published on 12 Apr 2026 - 23:57

score 172 · Answer 7 · 2026-04-16 08:40:07

172

Views

Invariance of $SO(3)$ Lie group when expressed via Euler angles

Published on 16 Apr 2026 - 8:40

score 78 · Answer 8 · 2026-04-12 05:32:17

78

Views

Which formula is correct for the order 5 of the Baker-Campbell-Hausdorff formula?

Published on 12 Apr 2026 - 5:32

score 448 · Answer 9 · 2026-04-14 12:36:00

448

Views

Matrix representation of universal enveloping $U(sl(2,\mathbb{C}))$ generators $ e^k,f^k$

Published on 14 Apr 2026 - 12:36

score 214 · Answer 10 · 2026-04-13 00:49:34

214

Views

De Rham Cohomology of Smooth $G$-manifolds

Published on 13 Apr 2026 - 0:49

score 218 · Answer 11 · 2026-04-11 09:38:05

218

Views

Isometry group of $\mathbb{Z}$

Published on 11 Apr 2026 - 9:38

score 804 · Answer 12 · 2026-04-16 14:00:23

804

Views

Abelian Lie group implies abelian Lie algebra

Published on 16 Apr 2026 - 14:00

score 117 · Answer 13 · 2026-04-13 13:47:25

117

Views

Wigner theorem, projective representations and central extensions

Published on 13 Apr 2026 - 13:47

score 242 · Answer 14 · 2026-04-15 02:47:32

242

Views

Defining Lie bracket intuitively looking at commuting flows

Published on 15 Apr 2026 - 2:47

score 874 · Answer 15 · 2026-04-11 06:14:31

874

Views

Does a Lie group's group structure (not Lie group structure) determine its topology?

Published on 11 Apr 2026 - 6:14

List Question

Chapter 1, Exercise 12 in Brian Hall's Lie groups, Lie algebras, and representations.

Motivation for the exponential in the definition of and element of a Lie group?

Is $SU(n)\to GL(n,\mathbb C)$ an irreducible representation?

Dimension of a Lie group associated to a finite group

The canonical metric on the space of lattices in $\mathbb R^n$

What is wrong with the following formation of a killing form or metric matrix for sl(2,r)?

Invariance of $SO(3)$ Lie group when expressed via Euler angles

Which formula is correct for the order 5 of the Baker-Campbell-Hausdorff formula?

Matrix representation of universal enveloping $U(sl(2,\mathbb{C}))$ generators $ e^k,f^k$

De Rham Cohomology of Smooth $G$-manifolds

Isometry group of $\mathbb{Z}$

Abelian Lie group implies abelian Lie algebra

Wigner theorem, projective representations and central extensions

Defining Lie bracket intuitively looking at commuting flows

Does a Lie group's group structure (not Lie group structure) determine its topology?

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