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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ If he has a son & daughter both born on tue he will mention the son, etc. The answer usually given is

Welcome to the language barrier between physicists and mathematicians If he has two sons born on tue and sun he will mention tue Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators

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The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices I have known the data of $\\pi_m(so(n))$ from this table 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. 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

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? 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

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