Question

Identifying the orbit space of the unitary group $U(n)$ in the compact symplectic group $Sp(n)$

score 372 · Answer 1 · 2026-03-25 07:44:57

372

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Identifying the orbit space of the unitary group $U(n)$ in the compact symplectic group $Sp(n)$

Published on 25 Mar 2026 - 7:44

score 544 · Answer 2 · 2014-12-01 03:31:14

544

Views

$SU(2)$ acting by conjugation, decomposition into irreducibles

Published on 01 Dec 2014 - 3:31

score 731 · Answer 3 · 2026-03-25 14:27:16

731

Views

Lifting Riemannian metrics on principal bundles

Published on 25 Mar 2026 - 14:27

score 661 · Answer 4 · 2014-12-03 01:20:51

661

Views

Why does the maximal compact subgroup of a Lie group inject into the compact form?

Published on 03 Dec 2014 - 1:20

score 1.1k · Answer 5 · 2014-12-03 11:43:24

1.1k

Views

Haar measure of an angle-distance ball in SO(3)

Published on 03 Dec 2014 - 11:43

score 118 · Answer 6 · 2014-12-05 03:59:48

118

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Closure relations of the cells in the Bruhat decomposition of the flag variety

Published on 05 Dec 2014 - 3:59

score 477 · Answer 7 · 2014-12-05 16:52:44

477

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Decomposition of SU(n) anticommutator

Published on 05 Dec 2014 - 16:52

score 48 · Answer 8 · 2014-12-06 01:28:49

48

Views

How can I show that this matrix is a flip

Published on 06 Dec 2014 - 1:28

score 369 · Answer 9 · 2014-12-06 03:17:50

369

Views

How can I show that these matrices don't commute

Published on 06 Dec 2014 - 3:17

score 2.6k · Answer 10 · 2014-12-06 05:52:44

2.6k

Views

Proof help: $SU(2)$ is a double cover of $SO(3)$

Published on 06 Dec 2014 - 5:52

score 27 · Answer 11 · 2014-12-06 06:13:28

27

Views

Topology of orthogonal groups when $n > 4$?

Published on 06 Dec 2014 - 6:13

score 1.2k · Answer 12 · 2014-12-06 17:38:39

1.2k

Views

What is the Jacobian for Sim(3) lie group action on 3D points ? (4d homogenous points)

Published on 06 Dec 2014 - 17:38

score 1.2k · Answer 13 · 2014-12-06 23:21:22

1.2k

Views

Induced Lie group action on a tangent bundle $TG\times TM\to TM$ and an example concerning Adjoint action

Published on 06 Dec 2014 - 23:21

score 54 · Answer 14 · 2014-12-07 00:15:41

54

Views

Product of two arbitrary elements in $O(2)$

Published on 07 Dec 2014 - 0:15

score 47 · Answer 15 · 2014-12-07 04:31:30

47

Views

Isn't this $f$ always a group isomorphism

Published on 07 Dec 2014 - 4:31

List Question

Identifying the orbit space of the unitary group $U(n)$ in the compact symplectic group $Sp(n)$

$SU(2)$ acting by conjugation, decomposition into irreducibles

Lifting Riemannian metrics on principal bundles

Why does the maximal compact subgroup of a Lie group inject into the compact form?

Haar measure of an angle-distance ball in SO(3)

Closure relations of the cells in the Bruhat decomposition of the flag variety

Decomposition of SU(n) anticommutator

How can I show that this matrix is a flip

How can I show that these matrices don't commute

Proof help: $SU(2)$ is a double cover of $SO(3)$

Topology of orthogonal groups when $n > 4$?

What is the Jacobian for Sim(3) lie group action on 3D points ? (4d homogenous points)

Induced Lie group action on a tangent bundle $TG\times TM\to TM$ and an example concerning Adjoint action

Product of two arbitrary elements in $O(2)$

Isn't this $f$ always a group isomorphism

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