List questions from spin-geometry

Published on 26 Mar 2026 - 12:35

100

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Lie algebra of Spin Group

Published on 19 Jul 2022 - 1:56

166

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Can you map a 3-vector onto a spinor?

Published on 25 Mar 2026 - 8:07

338

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Connection between vector scalar product and trace of matrix product

Published on 27 Mar 2026 - 11:47

81

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Why is the frame bundle of $S^1$ homeomorphic to $S^1$?

Published on 26 Mar 2026 - 17:32

74

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Rotating a Matrix into a Pauli Spin Matrix

Published on 29 Sep 2022 - 4:17

41

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$Hom_{\mathbb{C}}(\mathbb{H},\mathbb{H})\simeq\mathbb{C}(2)$

Published on 31 Oct 2022 - 20:57

66

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Is $\operatorname{Spin}(n-1)$ a subgroup of ${\rm Spin}(n)$?

Published on 06 Nov 2022 - 16:16

98

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Spin Group is closed subgroup of the multiplicative group of units

Published on 07 Nov 2022 - 13:06

29

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Curvature equation

Published on 26 Mar 2026 - 19:35

330

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Why define Spin$(2)$ as the double cover, not universal cover, of SO$(2)$?

Published on 05 Dec 2022 - 22:50

42

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Wedge product of representations of the Lorentz group

Published on 12 Dec 2022 - 21:41

106

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Are $\mathrm{Pin}(3, 1)$ and $\mathrm{GL}(2, \mathbb{C})$ isomorphic?

Published on 27 Mar 2026 - 7:36

239

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Does SO$(V, Q)$ have a unique connected double cover?

Published on 01 Jan 2023 - 22:51

406

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Recommended books for Spin Geometry

Published on 21 Jan 2023 - 11:48

List Question

Showing vanishing 2nd Stiefel-Whitney class implies existence of spin structure

Lie algebra of Spin Group

Can you map a 3-vector onto a spinor?

Connection between vector scalar product and trace of matrix product

Why is the frame bundle of $S^1$ homeomorphic to $S^1$?

Rotating a Matrix into a Pauli Spin Matrix

$Hom_{\mathbb{C}}(\mathbb{H},\mathbb{H})\simeq\mathbb{C}(2)$

Is $\operatorname{Spin}(n-1)$ a subgroup of ${\rm Spin}(n)$?

Spin Group is closed subgroup of the multiplicative group of units

Curvature equation

Why define Spin$(2)$ as the double cover, not universal cover, of SO$(2)$?

Wedge product of representations of the Lorentz group

Are $\mathrm{Pin}(3, 1)$ and $\mathrm{GL}(2, \mathbb{C})$ isomorphic?

Does SO$(V, Q)$ have a unique connected double cover?

Recommended books for Spin Geometry

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