Question

Reference request: indefinite orthogonal groups $O(p,q)$, spin groups $\mathrm{Spin}(p,q)$, and projective orthogonal groups $PO(p,q)$

score 422 · Answer 1 · 2026-04-17 15:09:24

422

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Reference request: indefinite orthogonal groups $O(p,q)$, spin groups $\mathrm{Spin}(p,q)$, and projective orthogonal groups $PO(p,q)$

Published on 17 Apr 2026 - 15:09

score 36 · Answer 2 · 2026-03-25 19:11:12

36

Views

Is there any canonical isomorphism between $L^2(L)$ and $L^2(G/L)$?

Published on 25 Mar 2026 - 19:11

score 384 · Answer 3 · 2026-03-27 03:42:31

384

Views

Representations of $S O( n )$ coming from $GL( N ,\mathbb{ R})$

Published on 27 Mar 2026 - 3:42

score 72 · Answer 4 · 2026-04-15 21:16:41

72

Views

Proving $A,B \in M_n \mathbb{C}$ are similar and finding an $X$, such that $A = X^{-1} B X$

Published on 15 Apr 2026 - 21:16

score 275 · Answer 5 · 2026-04-14 00:11:12

275

Views

Outer automorphisms of a connected Lie group

Published on 14 Apr 2026 - 0:11

score 81 · Answer 6 · 2026-04-11 14:44:57

81

Views

An identity abut the Lie group

Published on 11 Apr 2026 - 14:44

score 297 · Answer 7 · 2026-04-11 20:35:47

297

Views

Is the quotient map of a Lie group proper? Can you take a compact set of representatives?

Published on 11 Apr 2026 - 20:35

score 3.2k · Answer 8 · 2026-04-15 22:29:04

3.2k

Views

Tangent spaces of SO(3)

Published on 15 Apr 2026 - 22:29

score 88 · Answer 9 · 2026-04-16 05:40:22

88

Views

Under what circumstances is a map of representation rings surjective?

Published on 16 Apr 2026 - 5:40

score 1.2k · Answer 10 · 2026-05-14 16:13:01

1.2k

Views

Is there a close form solution for parallel transport on 2 sphere along the great circles.

Published on 14 May 2026 - 16:13

score 58 · Answer 11 · 2026-04-08 23:52:29

58

Views

Properties of the fundamental group scheme of a compact Riemann surface

Published on 08 Apr 2026 - 23:52

score 816 · Answer 12 · 2026-04-14 09:41:17

816

Views

Laplacian on a Lie group

Published on 14 Apr 2026 - 9:41

score 687 · Answer 13 · 2026-04-26 15:36:21

687

Views

1-Forms on $SO(3)$ and $S^2$

Published on 26 Apr 2026 - 15:36

score 83 · Answer 14 · 2026-04-15 05:42:46

83

Views

Psuedo-group from a Lie group action? Gluing condition?

Published on 15 Apr 2026 - 5:42

score 52 · Answer 15 · 2026-04-10 03:08:36

52

Views

Is exp map a global diffeo for the Lie group of positive smooth functions on a manifold?

Published on 10 Apr 2026 - 3:08

List Question

Reference request: indefinite orthogonal groups $O(p,q)$, spin groups $\mathrm{Spin}(p,q)$, and projective orthogonal groups $PO(p,q)$

Is there any canonical isomorphism between $L^2(L)$ and $L^2(G/L)$?

Representations of $S O( n )$ coming from $GL( N ,\mathbb{ R})$

Proving $A,B \in M_n \mathbb{C}$ are similar and finding an $X$, such that $A = X^{-1} B X$

Outer automorphisms of a connected Lie group

An identity abut the Lie group

Is the quotient map of a Lie group proper? Can you take a compact set of representatives?

Tangent spaces of SO(3)

Under what circumstances is a map of representation rings surjective?

Is there a close form solution for parallel transport on 2 sphere along the great circles.

Properties of the fundamental group scheme of a compact Riemann surface

Laplacian on a Lie group

1-Forms on $SO(3)$ and $S^2$

Psuedo-group from a Lie group action? Gluing condition?

Is exp map a global diffeo for the Lie group of positive smooth functions on a manifold?

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