Question

Does a choice of measure on $\mathfrak{g}$ induce a measure on $G$?

score 444 · Answer 1 · 2026-04-10 17:38:25

444

Views

Does a choice of measure on $\mathfrak{g}$ induce a measure on $G$?

Published on 10 Apr 2026 - 17:38

score 86 · Answer 2 · 2026-04-15 01:14:49

86

Views

Why is $\mathfrak{g}(A)=\mathfrak{g}'(A)$ iff $\det(A)\neq 0$?

Published on 15 Apr 2026 - 1:14

score 96 · Answer 3 · 2026-04-11 23:25:27

96

Views

For a root system, why does $\beta\in\Delta_+\setminus\{\alpha_i\}$ imply $(\beta+\mathbb{Z}\alpha_i)\cap\Delta\subset\Delta_+$?

Published on 11 Apr 2026 - 23:25

score 77 · Answer 4 · 2026-04-12 21:46:16

77

Views

Why is a weight automatically a complex weight?

Published on 12 Apr 2026 - 21:46

score 66 · Answer 5 · 2026-04-15 03:53:23

66

Views

Why aren't all elements of the $45_a$ representation of $SO(10)$ zero?

Published on 15 Apr 2026 - 3:53

score 1.1k · Answer 6 · 2026-04-09 02:31:06

1.1k

Views

What can we say about generic two-dimensional Lie algebras?

Published on 09 Apr 2026 - 2:31

score 946 · Answer 7 · 2026-04-15 17:45:28

946

Views

Number of Cartan subalgebra elements

Published on 15 Apr 2026 - 17:45

score 201 · Answer 8 · 2026-04-15 03:07:56

Can the "generalized commutator bracket" $[(a,b,c)]$ be written using only the usual commutator bracket and $\mathbb{Q}$-linear combinations?

score 96 · Answer 9 · 2026-04-14 17:23:43

96

Views

Constructing a coset representative of $SO(n,4)/(SO(n) \times SO(4))$.

Published on 14 Apr 2026 - 17:23

score 80 · Answer 10 · 2026-04-12 05:36:56

80

Views

Relationship between solutions of two matrix differential equations

Published on 12 Apr 2026 - 5:36

score 82 · Answer 11 · 2026-04-16 00:16:46

82

Views

Example for the lie algebra $\mathfrak g(A)$ constructed in Kac's book

Published on 16 Apr 2026 - 0:16

score 2.8k · Answer 12 · 2026-04-12 20:35:56

2.8k

Views

Showing the Lie Algebras $\mathfrak{su}(2)$ and $\mathfrak{sl}(2,\mathbb{R})$ are not isomorphic.

Published on 12 Apr 2026 - 20:35

score 353 · Answer 13 · 2026-04-17 13:02:36

353

Views

Lie bracket $[x,x]=0\implies [x,y]=-[y,x]$

Published on 17 Apr 2026 - 13:02

score 77 · Answer 14 · 2026-04-14 04:52:12

77

Views

Kac moody algebras and Weyl groups

Published on 14 Apr 2026 - 4:52

score 37 · Answer 15 · 2026-04-11 06:11:15

37

Views

Difficulty proving gauge invariance on an SU(N)-valued potential

Published on 11 Apr 2026 - 6:11

List Question

Does a choice of measure on $\mathfrak{g}$ induce a measure on $G$?

Why is $\mathfrak{g}(A)=\mathfrak{g}'(A)$ iff $\det(A)\neq 0$?

For a root system, why does $\beta\in\Delta_+\setminus\{\alpha_i\}$ imply $(\beta+\mathbb{Z}\alpha_i)\cap\Delta\subset\Delta_+$?

Why is a weight automatically a complex weight?

Why aren't all elements of the $45_a$ representation of $SO(10)$ zero?

What can we say about generic two-dimensional Lie algebras?

Number of Cartan subalgebra elements

Can the "generalized commutator bracket" $[(a,b,c)]$ be written using only the usual commutator bracket and $\mathbb{Q}$-linear combinations?

Constructing a coset representative of $SO(n,4)/(SO(n) \times SO(4))$.

Relationship between solutions of two matrix differential equations

Example for the lie algebra $\mathfrak g(A)$ constructed in Kac's book

Showing the Lie Algebras $\mathfrak{su}(2)$ and $\mathfrak{sl}(2,\mathbb{R})$ are not isomorphic.

Lie bracket $[x,x]=0\implies [x,y]=-[y,x]$

Kac moody algebras and Weyl groups

Difficulty proving gauge invariance on an SU(N)-valued potential

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