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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 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.
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 $\emptyset$ 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. U(n) and so(n) are quite important groups in physics
What is the lie algebra and lie bracket of the two groups?
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