Question

Noncompactness of $SL_n(\mathbb R)/SL_n(\mathbb Z)$

score 58 · Answer 1 · 2026-04-14 08:31:49

58

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Noncompactness of $SL_n(\mathbb R)/SL_n(\mathbb Z)$

Published on 14 Apr 2026 - 8:31

score 553 · Answer 2 · 2026-04-11 15:01:36

553

Views

$GL_n(\mathbb{C})$ And $SL_n(\mathbb{C})$ Are Smooth Manifolds

Published on 11 Apr 2026 - 15:01

score 151 · Answer 3 · 2026-04-16 08:22:14

151

Views

If $A \times B$ is a Lie group, are both $A$ and $B$ Lie groups?

Published on 16 Apr 2026 - 8:22

score 528 · Answer 4 · 2026-04-15 07:54:04

528

Views

Decomposition of semisimple Lie groups (lie algebras) into direct products (direct sums) and the correspondence.

Published on 15 Apr 2026 - 7:54

score 49 · Answer 5 · 2026-04-14 05:13:25

49

Views

If $S^a$ is a sphere which acts transitively on itself, then $a\in \{0,1,3\}$.

Published on 14 Apr 2026 - 5:13

score 170 · Answer 6 · 2026-04-11 12:11:04

170

Views

The kernel of a Killing form is solvable.

Published on 11 Apr 2026 - 12:11

score 461 · Answer 7 · 2026-04-10 21:11:46

461

Views

Parabolic subgroup of a Lie group (as oppose to algebraic group)

Published on 10 Apr 2026 - 21:11

score 537 · Answer 8 · 2026-04-12 01:47:54

537

Views

Example of a semisimple Lie group which is not an algebraic group?

Published on 12 Apr 2026 - 1:47

score 130 · Answer 9 · 2026-04-13 12:34:41

130

Views

Why is $SL(n,\mathbb Z)$ an irreducible lattice in $SL(n,\mathbb R)$?

Published on 13 Apr 2026 - 12:34

score 62 · Answer 10 · 2026-04-15 11:44:17

62

Views

Deformation retraction from $SO(a,b)$ to $SO(a) \times SO(b)$

Published on 15 Apr 2026 - 11:44

score 155 · Answer 11 · 2026-05-16 15:37:29

155

Views

Holomorphic and antiholomorphic representation for $U(2)$ equivalent?

Published on 16 May 2026 - 15:37

score 148 · Answer 12 · 2026-04-14 03:51:39

148

Views

Intuition for Lie Group Representations

Published on 14 Apr 2026 - 3:51

score 218 · Answer 13 · 2026-04-24 05:16:46

218

Views

If $[A,B]=B$. Calculate $e^{iA}Be^{-iA}$

Published on 24 Apr 2026 - 5:16

score 71 · Answer 14 · 2026-04-10 21:38:23

71

Views

A technical detail in the definition of a Lie group

Published on 10 Apr 2026 - 21:38

score 83 · Answer 15 · 2026-04-11 05:00:20

83

Views

What are the eigenvalues of the curvature operator on $\mathbb{C}P^2$?

Published on 11 Apr 2026 - 5:00

List Question

Noncompactness of $SL_n(\mathbb R)/SL_n(\mathbb Z)$

$GL_n(\mathbb{C})$ And $SL_n(\mathbb{C})$ Are Smooth Manifolds

If $A \times B$ is a Lie group, are both $A$ and $B$ Lie groups?

Decomposition of semisimple Lie groups (lie algebras) into direct products (direct sums) and the correspondence.

If $S^a$ is a sphere which acts transitively on itself, then $a\in \{0,1,3\}$.

The kernel of a Killing form is solvable.

Parabolic subgroup of a Lie group (as oppose to algebraic group)

Example of a semisimple Lie group which is not an algebraic group?

Why is $SL(n,\mathbb Z)$ an irreducible lattice in $SL(n,\mathbb R)$?

Deformation retraction from $SO(a,b)$ to $SO(a) \times SO(b)$

Holomorphic and antiholomorphic representation for $U(2)$ equivalent?

Intuition for Lie Group Representations

If $[A,B]=B$. Calculate $e^{iA}Be^{-iA}$

A technical detail in the definition of a Lie group

What are the eigenvalues of the curvature operator on $\mathbb{C}P^2$?

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