300 reputation
110
bio website
location Minsk, Belarus
age 21
visits member for 2 years, 4 months
seen yesterday

I like math and computer science.


Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
May
30
awarded  Yearling
Dec
29
awarded  Tumbleweed
Dec
22
asked Kernel of differential operators is distribution
May
14
awarded  Caucus
Mar
21
comment Trying to prove that operator is compact
Do you have any problems in understanding locally bounding criteria?
Mar
4
answered Trying to prove that operator is compact
Mar
1
awarded  Teacher
Mar
1
answered Determinant of matrix exponential?
Feb
16
accepted Boolean ring. Representation as direct product?
Feb
16
comment Boolean ring. Representation as direct product?
Thank you! Yes, the reason I tangled up is that I haven't notice that the proof of the theorem in the paper, I provided, was for general(infinite) case.
Feb
16
revised Boolean ring. Representation as direct product?
Forgot to say that I am only interested in finite case.
Feb
16
comment Boolean ring. Representation as direct product?
Sorry guys, I forgot to say that I am only interested in finite case. I will edit it now.
Feb
16
asked Boolean ring. Representation as direct product?
Feb
11
comment Asymptotics with prime of form 4k+3
Sorry for not responding for such a long time, I kept forgetting to respond that your answer solves original question, which can be easily deduced from standart $\delta - \epsilon$ arguments.
Jan
30
comment Induced representation, Ind(Res(U))
I will have a clear look on the 1st problem in tomorrow morning. For the second - sorry, I meant not $W$, but $Ind(W)$ and now we can form such sum, since we are trying to reconstruct $U$ from $\underline{G}$-module $U \otimes Ind(W)$
Jan
30
comment Induced representation, Ind(Res(U))
For the 1st problem: (at first, just to be sure that I understood everything correctly, we need $H$-modules $\alpha$ and $\beta$, don't we?) and the problem is: what would happen if we wanted to send some element of the form $(x \otimes_H w) \otimes yu$, where $x^{-1}y \ne 1 mod H$, we would send it to $x \otimes (w \otimes_H x^{-1}yu$, but $H$ acts differently on $U$ and $x^{-1}yU$ in general case... That's seems to be a problem here. For the second part: let we consider $U \otimes (\sum_{g \in G} gx)$ for some $x \in W$, it seems that we can recover action of $G$ on $U$.
Jan
30
awarded  Commentator
Jan
30
comment Induced representation, Ind(Res(U))
There are 2 issues: first is dealt with module map $\alpha$ : why it sends elements to $kG \otimes H(W \otimes U_{H})$, but not to $kG \otimes H(W \otimes U)$?And the second is a bit psychological: it doesn't seems that restriction serves the whole information about the original representation. (apart from the $U_{H}$ I do understand everything from the proof, but psychologically I can't admit it, because there are many representations, restrictions of which collides (there are trivial and alternating representations of $Sym(\[n\])$, restrictions to $A_n$ of which equal),despite the formula.