KingOliver
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 Apr27 asked How to compute the weights of $\Gamma_{3,1}$ the irrep of $\mathfrak{sl}_3\Bbb C$ Apr27 comment Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$ Thanks Jack, this works perfectly. I too noticed that the elements of $\mathfrak{sl}_2$ were acting like derivatives in terms of reduction of powers (it was clear that they would act via the typical derivation action on tensor products). I appreciate you taking the time to work this out for me in a very motivated manner. Apr27 accepted Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$ Apr27 asked Weights versus roots Apr27 revised Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$ edited tags Apr27 asked Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$ Apr27 asked Branching rule restriction to $\mathrm{O}_9 \Bbb C$ from $\mathrm{GL}_9 \Bbb C$ Apr21 awarded Promoter Apr19 revised Subspaces stabilized by representations of $\mathrm O(9)$ added 94 characters in body Apr19 revised Subspaces stabilized by representations of $\mathrm O(9)$ added 19 characters in body; edited title Apr19 asked Subspaces stabilized by representations of $\mathrm O(9)$ Apr10 comment Standard representation of $\frak S_4$ I see, just found a webpage detailing that mistake, thanks. I include the webpage for completeness: groupprops.subwiki.org/wiki/… Apr10 asked Standard representation of $\frak S_4$ Apr8 comment Factoring $x^{255} -1$ over $\Bbb F_2$ I just uploaded a picture of the answer I came up with, but thanks all for the help. Apr8 revised Factoring $x^{255} -1$ over $\Bbb F_2$ added 81 characters in body Apr8 comment Factoring $x^{255} -1$ over $\Bbb F_2$ I ended up figuring out how to go about this problem, I will post my solution shortly Apr8 accepted Factoring $x^{255} -1$ over $\Bbb F_2$ Apr2 comment Factoring $x^{255} -1$ over $\Bbb F_2$ This approach is the one that my teacher hinted at for the test question (this is a question on a test that I did not get and am now trying to solve). Can you elaborate on how we know that $\sum_{i = 0}^k x^i$ for $k = 2,4,16$ divides $x^{255}-1$? Apr2 revised Factoring $x^{255} -1$ over $\Bbb F_2$ added 178 characters in body Apr2 comment Factoring $x^{255} -1$ over $\Bbb F_2$ Ah! I read the Proposition wrongly, and the monic primes are indeed in $\Bbb F_2[x]$, I was under the wrong impression as you can see from my wording in the question. Thank you!