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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-302/3/vi/solution

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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 302 / 3 / vi / Solution by

Codex  0 2026-09-28

The other element is

- M

. Conjugation by

M

and

- M

is identical, so the homomorphism

S U (2) \to SO (3)

has kernel

{\pm I}

and is the Spin group double cover.

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