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accepted Bounds on eigenvalues of Hecke operator on the Jacobian
Dec
2
comment Bounds on eigenvalues of Hecke operator on the Jacobian
@BrunoJoyal: I guess that's $2g$ where $g$ is the genus of the curve. I need to think about it a little more.
Dec
2
comment Bounds on eigenvalues of Hecke operator on the Jacobian
You are right, I was confused (and now a little less). So, is the $l$-tate module ($l\neq p$) "suitable"? What is the dimension (lets tensor with $\mathbb{Q}_l$ to get a vector space).
Nov
28
revised Bounds on eigenvalues of Hecke operator on the Jacobian
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Nov
28
comment Bounds on eigenvalues of Hecke operator on the Jacobian
By the way, I'm thinking of the Jacobian as an abelian group: Divisors of degree zero modulo principal divisors. This is my starting point in this question.
Nov
28
revised Bounds on eigenvalues of Hecke operator on the Jacobian
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Nov
28
asked Bounds on eigenvalues of Hecke operator on the Jacobian
Nov
15
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Oct
21
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Aug
18
comment The space $C_c^\infty(\mathbb{Q}_p^*)$ of smooth compactly supported functions on $\mathbb{Q}_p^*$
What you say is not equivalent to what I say. What I say allows more functions. I think that the space contains functions without "radius of constancy". For example, for each $n$, choose one coset of $1+p^n\mathbb{Z}_p$, such that the chosen cosets are pairwise disjoint, then take the characteristic function of the union of these sets. I hope what you say is true and that I am wrong. I was hoping exactly for "radius of constancy".
Aug
16
asked Strong Approximation for adelic quaternionic groups
Aug
3
asked The space $C_c^\infty(\mathbb{Q}_p^*)$ of smooth compactly supported functions on $\mathbb{Q}_p^*$
Jul
2
awarded  Curious
Jul
2
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Apr
25
asked The embedding $L^2(\Gamma(N)\backslash\text{SL}_2(\mathbb{R})) \hookrightarrow L^2(\text{SL}_2(\mathbb{Q})\backslash \text{SL}_2(\mathbb{A})))$?
Jan
2
comment irrep over $\mathbb R$
And by the way, if you write '@' before my name, I will get a notification that you're saying something to me and will see it more quickly.
Jan
2
comment irrep over $\mathbb R$
I don't exactly understand what you're saying there. Anyway, there are only $8$ real irreps of $C_2\times C_2\times C_2$, and they are all $1$-dimensional.
Jan
2
comment irrep over $\mathbb R$
I am glad to see you wrote your answer. Let's start with $C_2\times C_2\times C_2$. I suggest you start by finiding the complex irreps of this group first. You will see that there are $8$ of them, all one-dimensional, and in fact, they are real representations.
Jan
2
comment irrep over $\mathbb R$
You are welcome. You may consider writing an answer to your own question here on the website, if you have the time.