Question

Root system for $\mathfrak{so}(6)$ algebra [Solved]

score 292 · Answer 1 · 2026-04-28 05:33:42

292

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Root system for $\mathfrak{so}(6)$ algebra [Solved]

Published on 28 Apr 2026 - 5:33

score 207 · Answer 2 · 2026-05-16 13:21:21

207

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What finitely-generated amenable groups arise as subgroups of compact Lie groups?

Published on 16 May 2026 - 13:21

score 104 · Answer 3 · 2026-04-12 14:01:23

104

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How to find the symmetry group of a vector field $x\partial_x+y\partial_y$

Published on 12 Apr 2026 - 14:01

score 1.5k · Answer 4 · 2026-04-12 20:04:09

1.5k

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SU(1,1) isomorphic to SL(2,R), but SU(2) is not

Published on 12 Apr 2026 - 20:04

score 54 · Answer 5 · 2026-05-16 21:05:10

54

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How does the action of $GL(n,\mathbb R)$ affect the $k$-th minimum of a lattice?

Published on 16 May 2026 - 21:05

score 54 · Answer 6 · 2026-04-11 16:54:40

54

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A basic tour on infinite dimensional manifolds

Published on 11 Apr 2026 - 16:54

score 299 · Answer 7 · 2026-04-15 06:39:07

299

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Why can we always lift representations of the Lie algebra $\mathfrak{su}(N)$ to representations of the Lie group ${\rm SU}(N)$?

Published on 15 Apr 2026 - 6:39

score 137 · Answer 8 · 2026-04-12 09:15:46

Can maximal compact subgroups of subgroups be extended to maximal compact subgroups of the ambient Lie group?

score 753 · Answer 9 · 2026-04-14 03:10:53

753

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Lie algebra $\mathfrak{sl}_2 \mathbb{C}$ has only these two real forms $\mathfrak{sl}_2 \mathbb{R}$ and $\mathfrak{su}_2$?

Published on 14 Apr 2026 - 3:10

score 2.6k · Answer 10 · 2026-04-15 00:23:52

2.6k

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When is the exponential map injective/surjective?

Published on 15 Apr 2026 - 0:23

score 26 · Answer 11 · 2026-05-16 21:08:24

26

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How does $g\in GL(n,\mathbb R)$ affect the ratio $\lambda_i(gL)/\lambda_i(L)$ of a lattice $L$

Published on 16 May 2026 - 21:08

score 1.2k · Answer 12 · 2026-04-17 02:08:12

1.2k

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$U(n)$ is a compact group. Proof.

Published on 17 Apr 2026 - 2:08

score 168 · Answer 13 · 2026-04-13 16:08:57

168

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What is meant by vector space over an algebra?

Published on 13 Apr 2026 - 16:08

score 206 · Answer 14 · 2026-04-11 21:42:12

206

Views

Book about linear groups

Published on 11 Apr 2026 - 21:42

score 45 · Answer 15 · 2026-04-16 08:31:11

45

Views

The connection between the Simple Real Jordan Algebras and the Simple Lie Groups.

Published on 16 Apr 2026 - 8:31

List Question

Root system for $\mathfrak{so}(6)$ algebra [Solved]

What finitely-generated amenable groups arise as subgroups of compact Lie groups?

How to find the symmetry group of a vector field $x\partial_x+y\partial_y$

SU(1,1) isomorphic to SL(2,R), but SU(2) is not

How does the action of $GL(n,\mathbb R)$ affect the $k$-th minimum of a lattice?

A basic tour on infinite dimensional manifolds

Why can we always lift representations of the Lie algebra $\mathfrak{su}(N)$ to representations of the Lie group ${\rm SU}(N)$?

Can maximal compact subgroups of subgroups be extended to maximal compact subgroups of the ambient Lie group?

Lie algebra $\mathfrak{sl}_2 \mathbb{C}$ has only these two real forms $\mathfrak{sl}_2 \mathbb{R}$ and $\mathfrak{su}_2$?

When is the exponential map injective/surjective?

How does $g\in GL(n,\mathbb R)$ affect the ratio $\lambda_i(gL)/\lambda_i(L)$ of a lattice $L$

$U(n)$ is a compact group. Proof.

What is meant by vector space over an algebra?

Book about linear groups

The connection between the Simple Real Jordan Algebras and the Simple Lie Groups.

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