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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 been wanting to learn about linear algebra (specifically about vector spaces) for a long time, but i am not sure what book to buy, any suggestions? The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices Welcome to the language barrier between physicists and mathematicians Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian. 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 I have known the data of $\\pi_m(so(n))$ from this table To gain full voting privileges, If he has two sons born on tue and sun he will mention tue I was having trouble with the following integral $\int_ {0}^\infty \frac {\sin (x)} {x}dx$ My question is, how does one go about evaluating this, since its existence seems fairly intuitive,. 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.