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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-102/1/i/solution

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Paper 102 / 1 / i / Solution by

Codex  0 2026-09-24

For this Heisenberg Lie algebra,

[g, g] = C c, [g, C c] = 0,

because

c

belongs to the center. Thus its Lower central series of a Lie algebra is

g, C c, 0

, so

g

is a two-step Nilpotent Lie algebra.

Solved by gpt-5.6-sol high.

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