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Results tagged with rt.representation-theory
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user 271
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
7
votes
Accepted
Explicit computations of small Deligne-Lusztig varieties (e.g. Drinfeld curve)
I found Teruyoshi Yoshida's exposition of the subject very helpful:
http://www.dpmms.cam.ac.uk/~ty245/Yoshida_2003_introDL.pdf
As JT commented, the curve you wrote down is really the Deligne-Lusztig …
- 4,487
7
votes
SL(2,Z/N)-decomposition of space of cusp forms for Gamma(N)
As usual, once I spot a question on here I have anything useful to say about, somebody has already answered it.
I can sum up that part of my thesis this way: let M be the induced representation of …
- 4,487
3
votes
p-adic representations of a quaternion algebra over a local field
If $E$ is an algebraic closure of $F$, then $D\otimes_F E\simeq M_2(E)$. (In fact this is also true if $E$ is taken to be, say, the unramified quadratic extension field of $F$.) We get an algebraic …
- 4,487
12
votes
1
answer
766
views
A family of hypersurfaces with many points
This question is a sequel to an earlier question, which asked about the zeta function of a certain affine variety over a finite field $k$. The unusual thing about this variety is that it had the maxi …
- 4,487
11
votes
Accepted
Geometric construction of depth zero local Langlands correspondence
Yoshida considers the Lubin-Tate tower in his geometric realization of the depth zero supercuspidals for $GL(n)$. For unitary groups, I'm sure that the answer to your question will be found in a simi …
- 4,487
20
votes
Accepted
"Purely local" proof of local Langlands
The short answer to the question is that all currently known proofs of the local Langlands correspondence (and I'm just referring to GL(n) here) are "global" in the sense that they involve embedding t …
- 4,487