Question

what is the difference between $\mathrm{SL}(2)$ and $\mathfrak{sl}(2)$?

score 220 · Answer 1 · 2026-04-11 01:03:02

220

Views

what is the difference between $\mathrm{SL}(2)$ and $\mathfrak{sl}(2)$?

Published on 11 Apr 2026 - 1:03

score 85 · Answer 2 · 2026-04-11 03:28:35

85

Views

Nilpotence of Lie Algebra

Published on 11 Apr 2026 - 3:28

score 71 · Answer 3 · 2026-04-11 19:02:12

71

Views

Is it possible to further simplify the product of three exponentials $e^A e^B e^C$ when $[A,C]=kB$ (k is a scalar)

Published on 11 Apr 2026 - 19:02

score 411 · Answer 4 · 2026-04-15 20:37:24

411

Views

When does the $\mathfrak g$-invariance of the symplectic form imply $G$-invariance?

Published on 15 Apr 2026 - 20:37

score 401 · Answer 5 · 2026-04-11 04:25:15

401

Views

Invariant inner products on infite-dimensional representations

Published on 11 Apr 2026 - 4:25

score 132 · Answer 6 · 2026-04-15 19:23:46

132

Views

Differential action on a complex manifold

Published on 15 Apr 2026 - 19:23

score 302 · Answer 7 · 2026-04-12 13:53:07

302

Views

Nilpotent Lie Group that is not simply connect nor product of Lie Groups?

Published on 12 Apr 2026 - 13:53

score 1.3k · Answer 8 · 2026-04-12 20:01:07

1.3k

Views

Dimension of Lie algebra according to root system

Published on 12 Apr 2026 - 20:01

score 187 · Answer 9 · 2026-04-13 08:38:55

187

Views

Defining Lie groups without the notion of a manifold

Published on 13 Apr 2026 - 8:38

score 1.5k · Answer 10 · 2026-04-11 21:24:46

1.5k

Views

Weyl group, permutation group

Published on 11 Apr 2026 - 21:24

score 439 · Answer 11 · 2026-04-09 20:37:30

439

Views

Examples of familiar, easy-to-visualize manifolds that admit Lie group structures

Published on 09 Apr 2026 - 20:37

score 123 · Answer 12 · 2026-04-10 01:20:58

123

Views

Invariants of representation theory of Lie groups

Published on 10 Apr 2026 - 1:20

score 5k · Answer 13 · 2026-04-15 17:56:15

5k

Views

a neighbourhood of identity $U$ generates $G$ where $G$ is a connected lie group

Published on 15 Apr 2026 - 17:56

score 390 · Answer 14 · 2026-04-14 17:02:35

390

Views

why the orthogonal group $O(k,l)$ is homotopy equivalent to $SO(K)\times SO(l)$

Published on 14 Apr 2026 - 17:02

score 705 · Answer 15 · 2026-04-14 15:24:29

705

Views

$U(n)/U(n-1)$ as homogeneous space

Published on 14 Apr 2026 - 15:24

List Question

what is the difference between $\mathrm{SL}(2)$ and $\mathfrak{sl}(2)$?

Nilpotence of Lie Algebra

Is it possible to further simplify the product of three exponentials $e^A e^B e^C$ when $[A,C]=kB$ (k is a scalar)

When does the $\mathfrak g$-invariance of the symplectic form imply $G$-invariance?

Invariant inner products on infite-dimensional representations

Differential action on a complex manifold

Nilpotent Lie Group that is not simply connect nor product of Lie Groups?

Dimension of Lie algebra according to root system

Defining Lie groups without the notion of a manifold

Weyl group, permutation group

Examples of familiar, easy-to-visualize manifolds that admit Lie group structures

Invariants of representation theory of Lie groups

a neighbourhood of identity $U$ generates $G$ where $G$ is a connected lie group

why the orthogonal group $O(k,l)$ is homotopy equivalent to $SO(K)\times SO(l)$

$U(n)/U(n-1)$ as homogeneous space

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