We know the set of one-parameter subgroup generators of a (closed) matrix lie group G (a subgroup of a general linear group) is closed under lie bracket and addition. In fact I see that in most places a matrix lie group is defined to be topologically closed. Is there a counter example? A subgroup of the general linear group, not closed, whose set of one-parameter generators are not closed under addition or the lie bracket?
2026-04-27 19:11:55.1777317115
matrix lie group
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