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What is the fundamental group of the special orthogonal group $so (n)$, $n>2$ What is the lie algebra and lie bracket of the two groups? 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? I thought i would find this with an easy google search 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 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 $\int_ {0}^\infty \frac {\sin (x)} {x}dx$ My question is, how does one go about evaluating this, since its existence seems fairly intuitive,.
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U(n) and so(n) are quite important groups in physics
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