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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ Upvoting indicates when questions and answers are useful 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? You'll need to complete a few actions and gain 15 reputation points before being able to upvote Welcome to the language barrier between physicists and mathematicians

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

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 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 $\int_ {0}^\infty \frac {\sin (x)} {x}dx$ My question is, how does one go about evaluating this, since its existence seems fairly intuitive,.

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