Because the general linear group is not simply connected, they must be able to be covered by some simply connected Lie group. But I cannot imagine which Lie group with same dimension can cover $GL(n,\mathbb{R})$ and $GL(n,\mathbb{C})$.
2026-03-30 08:27:44.1774859264
what's the universal covering group of general linear group $GL(n,\mathbb{R})$ and $GL(n,\mathbb{C})$
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