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# References

- S^1≅SO(2) and e^ix=cosx+i sinx, group of elements of norm 1 in complex numbers
- S^3≅SO(3) and SU(2) is isomorphic to the group of elements of norm 1 in quaternions

- "The Very Basics of Groups, Rings, and Fields" by Ben Brubaker. (Z/nZ is a fancy notation for the integers mod n under addition.)
- "The Quaternions and the Spaces S3, SU(2), SO(3), and RP3" by Jean Gallier.
- "An Elementary Introduction to Groups and Representations" by Brian C. Hall.

Last modified 6mo ago