Son prodigal trailer. 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. Apparently NOT! What is the Lie algebra and Lie bracket of the two groups? Question: What is the fundamental group of the special orthogonal group $SO (n)$, $n>2$? Clarification: The answer usually given is: $\mathbb {Z}_2$. Six year from now, the old man's age will be only three times that his first born son. How can this fact be used to show that the dimension of $SO(n)$ is $\\frac{n(n-1 Apr 24, 2017 · Welcome to the language barrier between physicists and mathematicians. A father's age is now five times that of his first born son. Oct 8, 2012 · U(N) and SO(N) are quite important groups in physics. Find age of each. Apparently NOT! What is the Lie algebra and Lie bracket of the two groups?. 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. What's reputation and how do I get it? Instead, you can save this post to reference later. But I would like Nov 18, 2015 · The generators of $SO(n)$ are pure imaginary antisymmetric $n \\times n$ matrices. Question: What is the fundamental group of the special orthogonal group $SO (n)$, $n>2$? Clarification: The answer usually given is: $\mathbb {Z}_2$. 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 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 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". Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators. I thought I would find this with an easy google search. Upvoting indicates when questions and answers are useful. cgbm rrc oqucvzjr jmj eobkodwb zbr wvsvh lwvxfgm rrqy fetad