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Welcome to the language barrier between physicists and mathematicians Almost nothing is known about diophantus' life, and there is scholarly dispute about the approximate period in which he lived. 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 son lived exactly half as long as his father is i think unambiguous The answer usually given is
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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 I'm not aware of another natural geometric object. 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 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?
Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$
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