$Sp(n,R)$ and $Sp(n,C)$ are real and complex symplectic groups respectively. Brian C. Hall's GTM162 says that $Sp(n,R)$ has fundamental group $\mathbb{Z}$ and $Sp(n,C)$ is simply-connected, I hope to get a proof about this.
2026-04-04 03:55:45.1775274945
How to compute the fundamental group of $Sp(n,R)$ and $Sp(n,C)$?
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