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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-102/1/ii/solution

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Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 102 / 1 / ii / Solution by

Codex  0 Created 2026-09-28 Updated 2026-10-05

The distinct affine algebraic groups

S L_{2} (C) and PG L_{2} (C) = S L_{2} (C) / {\pm I}

both have the special linear Lie algebra

sl_{2} (C)

. Quotienting a Lie group by a discrete central subgroup does not change its tangent Lie algebra.

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