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May
20
comment Fourier series of functions on compact groups
Harish-Chandra (1966), "Discrete series for semisimple Lie groups. II. Explicit determination of the characters",
May
13
comment Decomposition of $L^2(\Gamma \backslash G)$
Multiplicity one is known not to hold for SL(n), so no simplicity of the eigenvalues. It is a reasonable conjecture to assume that given a lattice, the multiplicity is bounded by a constant depending on the lattice and the weights.
May
12
comment Constant terms of Eisenstein series and Gindikin-Karpelevich formula
Did you check Moeglin-Waldspurger's book on Eisenstein series?
May
12
answered Decomposition of $L^2(\Gamma \backslash G)$
Apr
30
comment Has universality been definitely established for the whole Selberg class?
authors... I d send a joint email at all of them in this case.
Apr
30
comment Has universality been definitely established for the whole Selberg class?
Did you ask the author via email?
Apr
30
comment Has universality been definitely established for the whole Selberg class?
Please add references.
Apr
30
comment Current Status on Langlands Program
@Emerton: I thought that stabilization solves the issue that distinct conjugacy classen in $G(F)$ become conjugated in $G(\overline{F})$. This does not seem to happen for $GL(n)$, hence I thought the trace formula on $GL(n)$ is stable by definition. That's all what I meant to say.
Apr
29
awarded  Popular Question
Apr
18
awarded  rt.representation-theory
Apr
17
comment Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
Be careful that $p$ is much easier than $p^k$. I actually don't understand your proof even for the case $p$.
Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
comment Phillips-Sarnak conjecture in higher dimension
What about superrigidity? Does it not contradict your claim about existence of non-arithmetic lattices in higher rank? en.wikipedia.org/wiki/Superrigidity
Apr
17
answered Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
Apr
17
comment Are the only discrete groups with nontrivial p-adic Haar measure finite?
What is a tight measure? How is the isometry between $M(G)$ and $c_0(G)$? Usually $c_0(G)' = M(G)$, so there is a dual. I can't actually see why it should matter $C_p$ or $C$ valued measures here. It is more likely to see where you go wrong if you add all definitions.
Apr
14
answered Fourier series of functions on compact groups
Apr
14
comment The sum over zeros in the explicit formula for $\zeta(s)$
If you mean the explicit formula of Weil, the test function should be bounded by $(1+|\im z|))^{2 + \epsilon}$ and we also have absolute convergence there. So I am not sure if your argument can be made rigorous, because it would imply an explicit formula with more relaxed conditions on the allowed test functions.
Apr
12
comment What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
I also recommend Bushnell-Henniart Local Langlands for GL(2) for the Bushnell-Kutzko theory. It is more digestible for a beginner, I think.