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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ My question is, how does one go about evaluating this, since its existence seems fairly intuitive, while its 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? $\int_ {0}^\infty \frac {\sin (x)} {x}dx$ Welcome to the language barrier between physicists and mathematicians

Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators

The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices 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 If he has a son & daughter both born on tue he will mention the son, etc. I'm not aware of another natural.

I was having trouble with the following integral

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