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Understanding's Wikipedia's definition of a spinor

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#differential-geometry #representation-theory #mathematical-physics #clifford-algebras #spin-geometry
70
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Doubts on definition of spin structure

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#differential-geometry #principal-bundles #spin-geometry
38
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Formulating $Spin^c(3,1)$ Connection and Curvature on a $GL+(4,R)/Spin^c(3,1)$ Structured Manifold

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#differential-geometry #curvature #general-relativity #spin-geometry #gauge-theory
43
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Seeking Correct 2x2 Matrix Representation for CL(1,1) in Clifford Algebra

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#linear-algebra #mathematical-physics #clifford-algebras #spin-geometry
34
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Torsion spin-c structures on $S^1\times S^2$

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#low-dimensional-topology #spin-geometry #gauge-theory #torsion-groups #cobordism
34
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Adjoint representation of $V\subset \text{Cl}(V,q)$

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#linear-algebra #clifford-algebras #spin-geometry
36
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Explicit triality representation in Spin(8)

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#group-theory #clifford-algebras #spin-geometry
101
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What is the relationship between the kernel of a homomorphism and its degree as a covering map?

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#algebraic-topology #lie-groups #covering-spaces #spin-geometry #continuous-homomorphisms
63
Views

Why are Dirac spinor representations defined as a projection onto the first factor?

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#differential-geometry #representation-theory #mathematical-physics #clifford-algebras #spin-geometry
98
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What justifies the statement that a Dirac spinor can be written as two Weyl spinors?

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#differential-geometry #representation-theory #mathematical-physics #clifford-algebras #spin-geometry
57
Views

Question on double covers of Lie groups and Spin groups isomorphisms

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#group-theory #representation-theory #lie-groups #smooth-manifolds #spin-geometry
57
Views

Deducing inequality from exact triangle in Heegaard Floer homology

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#homological-algebra #symplectic-geometry #knot-theory #low-dimensional-topology #spin-geometry
43
Views

Associated graded algebra of Clifford algebra $\text{Cl}(V,q)$

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#linear-algebra #clifford-algebras #spin-geometry
26
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Graded representation of the Clifford algebra $\text{Cl}_{r,s}$

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#representation-theory #spin-geometry
50
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First few cases of the Clifford algebra $\text{Cl}_{r,s}$

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#clifford-algebras #spin-geometry

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