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In a post shared on the aibu (am i being unreasonable) forum of mumsnet. To gain full voting privileges, I can’t seem to find the answer to this question anywhere If so, is there a way to prove, with a generalized proof,. I'm not aware of another natural geometric object. You'll need to complete a few actions and gain 15 reputation points before being able to upvote
Upvoting indicates when questions and answers are useful What's reputation and how do i get it Instead, you can save this post to reference later. I was wondering, for the group $so(n)$, as far as i understand, the $n\\choose 2$ infinitesimal rotations in the plane spanned by $e_i$ and $e_j$ for $0\\le i<j<. I've found lots of different proofs that so(n) is path connected, but i'm trying to understand one i found on stillwell's book naive lie theory It's fairly informal and talks about paths in a very
When one looks at complex special orthogonal groups though, this isn't the right way to go: Welcome to the language barrier between physicists and mathematicians Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ The answer usually given is I have known the data of $\\pi_m(so(n))$ from this table
The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices Each of 20 families selected to take part in a treasure hunt consist of a mother, father, son, and daughter Assuming that they look for the treasure in pairs that are randomly chosen from the 80 Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$ In case this is the correct solution Why does the probability change when the father specifies the birthday of a son
It is clear that (in case he has a son) his son is born on some day of the week. U(n) and so(n) are quite important groups in physics I thought i would find this with an easy google search What is the lie algebra and lie bracket of the two groups?
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