Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators I thought i would find this with an easy google search What is the fundamental group of the special orthogonal group $so (n)$, $n>2$
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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 The question really is that simple Prove that the manifold $so(n) \\subset gl(n, \\mathbb{r})$ is connected It is very easy to see that the elements of $so(n)$ are.
I'm not aware of another natural geometric object. The son lived exactly half as long as his father is i think unambiguous Almost nothing is known about diophantus' life, and there is scholarly dispute about the approximate period in which he lived. Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$
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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. U(n) and so(n) are quite important groups in physics
