Is $SO(n)$ actuallly the same as $O(n)$?
May 23, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
problem solving - Diophantus' Lifespan - Mathematics Stack …
Stated in prose, the poem says that Diophantus's youth lasts 1/6 of his life. He grew a beard after 1/12 more of his life. After 1/7 more of his life, Diophantus married. Five years later, he had a …
Fundamental group of the special orthogonal group SO(n)
You can use the exact sequence of homotopy groups you mention (without knowing the maps) to get the result once you know $\pi_1(SO(3))$.
lie groups - Lie Algebra of SO(n) - Mathematics Stack Exchange
Apr 24, 2017 · $\begingroup$ Well, to answer your question, you should show that $\mathfrak{so}(n)$ consists of skew-symmetric matrices (I am sweeping something under the …
Universal covering group and fundamental group of $SO(n)$
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Dimension of SO (n) and its generators - Mathematics Stack …
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What is the relationship between SL (n) and SO (n)?
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general topology - proving that $SO (n)$ is path connected ...
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Contrast between SO (n) and Spin (n) representation
Jul 20, 2020 · Earlier I asked this Comparison between SO(n) and Spin(n) representation theory which is closed. I think the question is certainly valid and a good one.
Volume of a geodesic ball in - Mathematics Stack Exchange
Sep 27, 2021 · Attempts/what I know: (1) Theorem 2.4 of this paper (screenshot attached) provides a formula for the volume of a geodesic ball for any noncompact symmetric space.