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Results tagged with rt.representation-theory
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user 21999
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
50
votes
Accepted
Questions about the Bernstein center of a $p$-adic reductive group
Abstract Definition .
Let $Rep(G)$ be the abelian category of smooth complex representations of our $p$-adic group $G$. The Bernstein center is the endomorphism ring $\mathfrak Z(G)$ of the identity …
- 686
5
votes
Is the Gelfand-Graev character isomorphic to a cohomology group for some sheaf on a Deligne-...
This is not precisely what you're looking for, but Bonnafé and Rouquier have made in
"Coxeter orbits and modular representations." Nagoya Math. J., 183 :1–34, 2006,
the conjecture that the DL-restric …
- 686
4
votes
Looking for criterion for $\mathbb{Z}G$-modules to be projective
You need to assume projectivity for all primes $p$, otherwise stupid counterexamples are easily found with $G$ the trivial group.
Assuming this, then for any finitely generated $\mathbb Z G$-module $ …
- 686