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Apr
27
asked How to compute the weights of $\Gamma_{3,1}$ the irrep of $\mathfrak{sl}_3\Bbb C$
Apr
27
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.
Apr
27
accepted Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$
Apr
27
asked Weights versus roots
Apr
27
revised Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$
edited tags
Apr
27
asked Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$
Apr
27
asked Branching rule restriction to $\mathrm{O}_9 \Bbb C$ from $\mathrm{GL}_9 \Bbb C$
Apr
21
awarded  Promoter
Apr
19
revised Subspaces stabilized by representations of $\mathrm O(9)$
added 94 characters in body
Apr
19
revised Subspaces stabilized by representations of $\mathrm O(9)$
added 19 characters in body; edited title
Apr
19
asked Subspaces stabilized by representations of $\mathrm O(9)$
Apr
10
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/…
Apr
10
asked Standard representation of $\frak S_4$
Apr
8
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.
Apr
8
revised Factoring $x^{255} -1 $ over $\Bbb F_2$
added 81 characters in body
Apr
8
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
Apr
8
accepted Factoring $x^{255} -1 $ over $\Bbb F_2$
Apr
2
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 $x^{255}-1$?
Apr
2
revised Factoring $x^{255} -1 $ over $\Bbb F_2$
added 178 characters in body
Apr
2
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!