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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ Dear stop it now!, i caught my son alone in a room with his pants off, with his laptop in front of him, as soon as i walked in, he pulled his pants up. 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? Below are six clarifications of common misunderstandings many adults have articulated on our helpline while attempting to make sense out of confusing situations. 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 operators 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, while its

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