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Deriving an expression for the wave operator acting on the gravitational spinor: $\square \Psi_{ABCD} = 6\Psi_{EF(AB} \Psi_{CD)}{}^{EF}$

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#differential-geometry #mathematical-physics #general-relativity #spin-geometry
54
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Definition of Spin structure?

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#vector-bundles #principal-bundles #spin-geometry
30
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Why Representation of Clifford algebra are constant for an orthonormal frame?

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#manifolds #clifford-algebras #tangent-bundle #spin-geometry
100
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Uniqueness of Spinor representation

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#representation-theory #lie-groups #clifford-algebras #spin-geometry
32
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A way to realize the $H^1(B;\mathbb{Z}/2)$ action on Pin- and Spin- structure

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#geometry #algebraic-topology #symplectic-geometry #fiber-bundles #spin-geometry
18
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Is the total space of the frame bundle of a smooth manifold $M$ always spin?

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#smooth-manifolds #principal-bundles #spin-geometry
46
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Coefficient conditions for square root of the Laplacian

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#operator-theory #quantum-mechanics #laplacian #spin-geometry
334
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Spinors in Spin Geometry

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#abstract-algebra #mathematical-physics #clifford-algebras #spin-geometry
42
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How to solve spinorial differential equations.

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#partial-differential-equations #spin-geometry
51
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Does $Spin(n,m)$ double cover only $SO(n,m)^+$

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#lie-groups #covering-spaces #spin-geometry
39
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Union of spin-c structures

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#differential-geometry #differential-topology #spin-geometry #gauge-theory
62
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Is there any spin group $Spin(n)$ for any value of $n$ which is isomorphic to $SU(3)$?

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#lie-groups #group-isomorphism #spin-geometry
24
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How does the following representation of $\mathbb{C}l(3)$ decompose into irreducibles?

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#representation-theory #clifford-algebras #spin-geometry #graded-algebras
214
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Are spinors in 3 dimension quaternions, or are they elements of $\mathbb C^2$?

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#spin-geometry
252
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Topological definition of Spin$(p,q)$?

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#algebraic-topology #lie-groups #topological-groups #covering-spaces #spin-geometry

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