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12 votes
3 answers
1k views

Lyndon–Hochschild–Serre spectral sequence for a non-normal subgroup

Is there an analogue of the Lyndon–Hochschild–Serre spectral sequence for a non-normal subgroup? What can you say about it? Can you describe $E^{p, q}_1$ ? What is about $E^{p, q}_2$? What is the bes …
3 votes
2 answers
658 views

What are cohomology of Lie algebra with coefficients geometrically?

I want to find analog of following two statements. Let $G$ be a discrete group, $M$ is representation of $G$. Local systems on $BG$ are the same as $G$ representations (because $\pi_1 (BG) =G$). Let …