I am reading again about Lie Algebra, and one main concept is that of the tangent space of a lie group. We consider it to be all the possible tangent vectors as a path crosses the identity element in the lie group... but why exactly the identity element? Why not consider tangent spaces at a generic point?
2026-04-12 18:54:04.1776020044
Why are we interested in tangent spaces of a group only at identity?
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