Why is O(n;k)not connected,and it has four connection branches? $O(n;k)=\{A\in GL(n+k,C)|A^{T}GA=G\}$ where $G=\begin{pmatrix} 1&&&&&\\ &\ddots& & & &\\ &&1&& &\\ && &-1& &\\ && & &\ddots &\\ && & & &-1 \end{pmatrix}$,it has n 1 and k -1.
Why is O(n;k)not connected,and it has four connection branch?
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