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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ What's reputation and how do i get. 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? Upvoting indicates when questions and answers are useful 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,.
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