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I have known the data of $\\pi_m(so(n))$ from this table I know that an antisymmetric matrix has n(n−1) 2 n (n 1) 2 degrees of freedom, but i can't take this idea any further in the demonstration of the proof To gain full voting privileges,
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Welcome to the language barrier between physicists and mathematicians How can this fact be used to show that the dimension of so(n) s o (n) is n(n−1) 2 n (n 1) 2 Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators
What is the fundamental group of the special orthogonal group $so (n)$, $n>2$
The answer usually given is You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do i get it
Instead, you can save this post to reference later. I'm in linear algebra right now and we're mostly just working with vector spaces, but they're introducing us to the basic concepts of fields and groups in preparation taking for abstract algebra la. A son had recently visited his mom and found out that the two digits that form his age (eg :24) when reversed form his mother's age (eg Later he goes back to his place and finds out that this whole 'age' reversed process occurs 6 times
And if they (mom + son) were lucky it would happen again in future for two more times.
The son lived exactly half as long as his father is i think unambiguous Almost nothing is known about diophantus' life, and there is scholarly dispute about the approximate period in which he lived. The generators of so(n) s o (n) are pure imaginary antisymmetric n×n n × n matrices