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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

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Lorentz quotient and orientation

This particular question (``consistently orienting the reductions") and all those arising from your above link are interesting. However, the answer to this question seems `easy' -- and i'm wondering …
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Have derivatives of determinants along 1-psg's ever been 'coherently' computed via Jacobi's ...

Suppose $\mathfrak{p}$ denotes all the symmetric matrices in $\mathfrak{sl}_{2n} \mathbb{R}$. Then for each parameterized 1-dimensional linear subspace $\xi=\xi(t)$ of $\mathfrak{p}$ we get a 1-para …
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