bio | website | plusepsilon.de |
---|---|---|
location | Uni Hamburg | |
age | 29 | |
visits | member for | 4 years, 1 month |
seen | Sep 25 at 13:24 | |
stats | profile views | 8,357 |
Jun 10 |
answered | Analytic criteria for the support of the Plancherel measure for SL(2,Qp), spherical functions |
Jun 10 |
comment |
Spherical functions for sl(2,Q_p)
I gave the formula for the distribution. It is general. If you want to find a function on $G$ corresponding to this, I can't tell where to look for explicit computations. My feeling is that finding some useful computational analogy can only done to some extent. $P$-adic Gamma factors do not look like real or complex Gamma-functions. |
Jun 10 |
comment |
Spherical functions for sl(2,Q_p)
Being in the left regular correspond to being tempered, so you will not get the trivial representation nor the non-tempered principal series. But it does not matter, my computation assume $\mu$ general, not necessarily unitary. You probably means character seen as a function, which is locally integrable - not as a distribution. Yes you can do a similiar things whether as long as you assume admissible. |
Jun 10 |
answered | Questions on constructions of supercuspidal representations |
Jun 10 |
revised |
Spherical functions for sl(2,Q_p)
added 129 characters in body |
Jun 10 |
answered | Spherical functions for sl(2,Q_p) |
Jun 2 |
comment |
Spherical functions for sl(2,Q_p)
Being type I and having spherical functions are different things. Please clarify your question. |
May 20 |
comment |
surjective homomorphism with compact kernel (Milne's note on Shimura varieties)
Please define the notation. |
May 20 |
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Fourier series of functions on compact groups
If you use the framework of Hilbert's 5th problem, you can generalize it to the locally compact version, see chapter 6 of my Phd Thesis. |
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 |
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Has universality been definitely established for the whole Selberg class?
Please add references. |
Apr 30 |
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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 $p$. |