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Dec
3
comment How does Molien series describe polynomial invariants?
@monomorphic: The Molien series does not really describe the polynomial invariants. I do not think it is possible to reconstruct the polynomial invariants from the Molien series. The Molien series is really just a power series whose $d$-th coefficient is the number of linearly independent polynomial invariants of degree $d$. What uniqueness are you referring to?
Dec
3
comment How to prove that $Aut(\mathbb{P}^2) \cong PSL_3 (\mathbb{C})$?
Sure thing. I left an answer for you, maybe it can help.
Dec
3
answered How does Molien series describe polynomial invariants?
Dec
3
comment How to prove that $Aut(\mathbb{P}^2) \cong PSL_3 (\mathbb{C})$?
This fact (or actually, a more general statement) is known as the "Fundamental Theorem of Projective Geometry". You can find it as Theorem 1.5 in this book, which is available online. What you are looking for is the Corollary 1.7.
Dec
3
answered Finding Basis for a Radical of an Ideal
Nov
21
accepted Is a finite normal subgroup of a reductive algebraic group central?
Nov
21
accepted Is an ideal generated by multilinear polynomials of different degrees always radical?
Nov
21
awarded  Citizen Patrol
Nov
19
comment Vector space and algebraic closure of a field
@user142800: Yea, that part was not quite formal. The "structure" of a finite dimensional vector space over some field is given only by its dimension, because any two finite dimensional vector spaces are isomorphic. So basically I said nothing profound there, it's just elaborating on what I said formally before. But yes, I think of it much the same way you said: You keep the same basis, but now you can multiply those vectors with more scalars.
Nov
17
answered Vector space and algebraic closure of a field
Nov
17
revised Representation theory of the general linear group over a finite prime field
added 202 characters in body
Nov
4
answered Is $K[x,y,z,\frac{1}{xz}]$ an integral domain?
Oct
31
comment Representation theory of the general linear group over a finite prime field
I am perfectly sure what the question is, it is the one written up there. I just do not know what your definition of a representations of the algebraic group $\operatorname{GL}_n/\mathbb F_p$ is. @Stephen, you are correct.
Oct
31
comment Representation theory of the general linear group over a finite prime field
@Thomas: Most definitely not, everything is over $\mathbb F_p$.
Oct
31
comment Representation theory of the general linear group over a finite prime field
I worded my question more cautiously. I am not sure if I want the representations of the algebraic group $\operatorname{GL}_n/\mathbb F_p$, in case that somehow involves the algebraic closure of $\mathbb F_p$, I am indeed looking at the finite group $\operatorname{GL}_n(\mathbb F_p)$ acting on $\mathbb F_p$-vector spaces.
Oct
31
revised Representation theory of the general linear group over a finite prime field
added 167 characters in body
Oct
31
asked Representation theory of the general linear group over a finite prime field
Oct
28
answered All the $k\times k$ minors determines the matrix?
Oct
23
comment Worst-case time to copy one movie
For $N=99$ you'd only have $H_1$ and $H_2$ because $\log_{10}(N+1)=\log_{10}(100)=2$.
Oct
22
revised Rational functions on varieties
added 6 characters in body