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For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
10
votes
Accepted
what is the universal cover of GL(2,R)?
For the sake of completeness here is an explicit proof. Let $m\in GL_{2}(\mathbb{R})^{+}$, then $m\rightarrow \frac{m}{\det(m)}$ maps it to an element in $SL_{2}(\mathbb{R})$. And we know $SL_{2}(\mat …