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  1. 1 Fakhri H.

  2. 1 Lotfizadeh M.

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First (fuzzy) Hopf map from irreps of SU(2)

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Fakhri H., Lotfizadeh M.
Open Physics
|
2013
|
vol. 11
|
issue 4
474-479
EN
Using the spherical basis of the spin-ν operator, together with an appropriate normalized complex (2ν +1)-spinor on S 3 we obtain spin-ν representation of the U(1) Hopf fibration S 3 → S 2 as well as its associated fuzzy version. Also, to realize the first Hopf map via the spherical basis of the spin-1 operator with even winding numbers, we present an appropriate normalized complex three-spinor. We put the winding numbers in one-to-one correspondence with the monopole charges corresponding to different associated complex vector bundles.
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