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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ If he has two sons born on tue and sun he will mention tue The answer usually given is

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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? My question is, how does one go about evaluating this, since its existence seems fairly intuitive,. 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, I was having trouble with the following integral $\int_ {0}^\infty \frac {\sin (x)} {x}dx$