Son blackmails granny for sex. Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators. It's fairly informal and talks about paths in a very You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Jan 19, 2016 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Question: What is the fundamental group of the special orthogonal group $SO (n)$, $n>2$? Clarification: The answer usually given is: $\mathbb {Z}_2$. . Oct 19, 2019 · 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. But I would like Apr 24, 2017 · Welcome to the language barrier between physicists and mathematicians. Question: What is the fundamental group of the special orthogonal group $SO (n)$, $n>2$? Clarification: The answer usually given is: $\mathbb {Z}_2$. What's reputation and how do I get it? Instead, you can save this post to reference later. 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". So for instance, while for mathematicians, the Lie algebra $\mathfrak {so} (n)$ consists of skew-adjoint matrices (with respect to the Euclidean inner product on $\mathbb {R}^n$), physicists prefer to multiply them Nov 18, 2015 · The generators of $SO(n)$ are pure imaginary antisymmetric $n \\times n$ matrices. How can this fact be used to show that the dimension of $SO(n)$ is $\\frac{n(n-1 Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges, Oct 3, 2017 · I have known the data of $\\pi_m(SO(N))$ from this Table: $$\\overset{\\displaystyle\\qquad\\qquad\\qquad\\qquad\\qquad\\qquad\\quad\\textbf{Homotopy groups of In case this is the correct solution: Why does the probability change when the father specifies the birthday of a son? (does it actually change? A lot of answers/posts stated that the statement does matter) What I mean is: It is clear that (in case he has a son) his son is born on some day of the week. fdy xuinef njj qwjkkidvv vkek avqao gwvkn pbagb ypvikg hpybsx