4,626 reputation
1927
bio website sites.google.com/site/…
location
age
visits member for 3 years, 3 months
seen 2 hours ago

no mods no masters


8h
reviewed Reject suggested edit on MAP Estimator with Laplacian Noise
8h
reviewed Approve suggested edit on How to prove this binary operations
8h
awarded  Proofreader
8h
reviewed Approve suggested edit on Help with radius of convergence of a power series.
8h
revised Differentiability of $\sum x^j$
edited title
1d
revised Burnside's Lemma and Stirling Numbers of the First Kind
edited title
1d
comment A construction of $\mathfrak{e}_8$ in Fulton and Harris
What you have can't be the set of simple roots: if it was, any root would vanish on $W$ (since any root is a linear combination of simple roots). So the CSA, which is what you say it is, would act trivially on $W$ -- but it doesn't. To find a set of simple roots, you must first "know" all roots. Otherwise how could you show that any root is a positive or negative linear combination of your putative root system?
1d
comment A construction of $\mathfrak{e}_8$ in Fulton and Harris
What you've written down isn't a set of simple roots for e8. They are all zero on $W$ and $W^*$! The root space decomposition wrt your CSA consists of the sl9 roots together with the weights for the action of the CSA on $W$ and $W^*$. You've got to study these to find a set of simple roots.
2d
reviewed Approve suggested edit on Distribution function of an exponential random variable
Apr
16
reviewed Reject suggested edit on Notation - Transpose of Block Matrices [Lay P121 Q2.4.12]
Apr
16
reviewed Approve suggested edit on Multivariate polynomial with univariate factor
Apr
16
reviewed Approve suggested edit on Pencil of conics and periodic orbits
Apr
15
reviewed Approve suggested edit on Determinant of Matrix is different than product of diagonal
Apr
15
reviewed Approve suggested edit on Help regarding limit problem
Apr
15
reviewed Approve suggested edit on When is $ 4 ab \sin^2 θ = (a+b)^2 $ ?
Apr
15
reviewed Reject suggested edit on Give an equational proof $ \vdash p \land (q \equiv p) \equiv p \land q $
Apr
15
comment Characterizing the Galois group using permutations of roots
What do you mean by "the converse"? I don't think what you've got there is a good definition of the Galois group, but perhaps I don't understand it properly.
Apr
15
comment Characterizing the Galois group using permutations of roots
Constant functions with values in K are rational functions!
Apr
15
reviewed Approve suggested edit on An intutive way to think about odd and even numbers.
Apr
15
reviewed Approve suggested edit on Double Integral Proof