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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 A lot of answers/posts stated that the statement does matter) what i mean is
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? You'll need to complete a few actions and gain 15 reputation points before being able to upvote
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