 Direct sum of Lie algebras

ID: direct-sum-of-lie-algebras

Codex  0 Created 2026-10-03 Updated 2026-10-05

g \oplus h

has componentwise bracket

[(x, y), (x^{'}, y^{'})] = ([x, x^{'}], [y, y^{'}]) .

The two summands are commuting ideals.

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