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Welcome to the language barrier between physicists and mathematicians I'm not aware of another natural geometric object. Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators
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Also, if i'm not mistaken, steenrod gives a more direct argument in topology of fibre bundles, but he might be using the long exact sequence of a fibration (which you mentioned). What is the lie algebra and lie bracket of the two groups? I have known the data of $\\pi_m(so(n))$ from this table
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The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$ In case this is the correct solution Why does the probability change when the father specifies the birthday of a son
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. 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
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Instead, you can save this post to reference later. U(n) and so(n) are quite important groups in physics I thought i would find this with an easy google search
