Question

Unitary representation of compact Lie Groups

score 166 · Answer 1 · 2026-03-30 16:03:42

166

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Unitary representation of compact Lie Groups

Published on 30 Mar 2026 - 16:03

score 158 · Answer 2 · 2026-03-25 23:10:35

158

Views

Affine connection on a Lie group - interaction with left-multiplication

Published on 25 Mar 2026 - 23:10

score 734 · Answer 3 · 2026-03-25 23:10:10

734

Views

Understanding the definition of a left-invariant connection on a Lie group

Published on 25 Mar 2026 - 23:10

score 488 · Answer 4 · 2026-03-23 11:02:30

488

Views

Nonlinear geometric control for beginners

Published on 23 Mar 2026 - 11:02

score 132 · Answer 5 · 2026-03-25 06:02:05

132

Views

Lie Group Homomorphism from $U(n)$ into $SO(2)$

Published on 25 Mar 2026 - 6:02

score 72 · Answer 6 · 2026-03-25 07:47:55

72

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How much the discrete subgroups of $\mathrm{O}(n)$ can be complicated?

Published on 25 Mar 2026 - 7:47

score 74 · Answer 7 · 2026-03-26 04:53:40

74

Views

In which n, do we relate O(n) and Spin(n) to SO(n) via a direct product?

Published on 26 Mar 2026 - 4:53

score 38 · Answer 8 · 2019-07-15 15:57:51

38

Views

Compute pullback of $(0,1)$-forms with value in $T^{1,0}\textit{SL}_2(\mathbb{C})$ by a left translation.

Published on 15 Jul 2019 - 15:57

score 92 · Answer 9 · 2026-03-26 03:11:14

92

Views

Proper action of $\mathrm{SL}(2,\mathbb{R})$ by isometries on a Hilbert space

Published on 26 Mar 2026 - 3:11

score 258 · Answer 10 · 2026-03-25 09:49:58

258

Views

Is the Nelson-Laplacian $\sum_{i=1}^{n}X_{i}^{2}$ on a Lie group $G$ an elliptic differential operator?

Published on 25 Mar 2026 - 9:49

score 979 · Answer 11 · 2026-03-25 22:04:44

979

Views

Is a "spinor" an element of the Spin group, or an object that transforms under the Spin group—or both?

Published on 25 Mar 2026 - 22:04

score 697 · Answer 12 · 2026-03-25 22:10:03

697

Views

Embed a Spin group to a special unitary group

Published on 25 Mar 2026 - 22:10

score 1.2k · Answer 13 · 2019-07-18 00:21:11

1.2k

Views

Two dimensional irreducible representation of SO(3)

Published on 18 Jul 2019 - 0:21

score 149 · Answer 14 · 2026-03-25 23:36:24

149

Views

Embed a Spin group into an Orthogonal group

Published on 25 Mar 2026 - 23:36

score 85 · Answer 15 · 2019-07-18 23:43:57

85

Views

Is there a weak homotopy equivalence between $\mathrm{Sp}(2n,\mathbb{C})/\mathrm{U}(n)$ and $\mathrm{SU}(n)$?

Published on 18 Jul 2019 - 23:43

List Question

Unitary representation of compact Lie Groups

Affine connection on a Lie group - interaction with left-multiplication

Understanding the definition of a left-invariant connection on a Lie group

Nonlinear geometric control for beginners

Lie Group Homomorphism from $U(n)$ into $SO(2)$

How much the discrete subgroups of $\mathrm{O}(n)$ can be complicated?

In which n, do we relate O(n) and Spin(n) to SO(n) via a direct product?

Compute pullback of $(0,1)$-forms with value in $T^{1,0}\textit{SL}_2(\mathbb{C})$ by a left translation.

Proper action of $\mathrm{SL}(2,\mathbb{R})$ by isometries on a Hilbert space

Is the Nelson-Laplacian $\sum_{i=1}^{n}X_{i}^{2}$ on a Lie group $G$ an elliptic differential operator?

Is a "spinor" an element of the Spin group, or an object that transforms under the Spin group—or both?

Embed a Spin group to a special unitary group

Two dimensional irreducible representation of SO(3)

Embed a Spin group into an Orthogonal group

Is there a weak homotopy equivalence between $\mathrm{Sp}(2n,\mathbb{C})/\mathrm{U}(n)$ and $\mathrm{SU}(n)$?

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