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SU (2) and SO(3)

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Topology, Geometry and Gauge fields

Part of the book series: Texts in Applied Mathematics ((TAM,volume 25))

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Abstract

The special unitary group SU(2) and its alter ego Sp(1) have figured prominently in our story and we have, at several points (e.g., Sections 0.5 and 6.3), intimated that the reasons lie in physics. To understand something of this one must be made aware of a remarkable relationship between SU(2) and the rotation group SO(3). It is this service that we hope to perform for our reader here.

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References

  1. Naber, G.L., The Geometry of Minkowski Spacetime, Springer-Verlag, Applied Mathematical Sciences Series #92, New York, Berlin, 1992.

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© 2011 Springer Science+Business Media, LLC

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Naber, G.L. (2011). SU (2) and SO(3). In: Topology, Geometry and Gauge fields. Texts in Applied Mathematics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7254-5_7

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