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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

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 Welcome to the language barrier between physicists and mathematicians Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian. To gain full voting privileges,

I have known the data of $\\pi_m(so(n))$ from this table I was having trouble with the following integral $\int_ {0}^\infty \frac {\sin (x)} {x}dx$