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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
5
votes
Accepted
Surjectivity in Deligne-Serre
In the setting that $f$ has integer Hecke eigenvalues, then the result is true, so long as $f$ has weight $k\ge 2$ and does not have complex multiplication. See Theorem 3.1 of this paper by Ribet: in …
5
votes
1
answer
252
views
Endomorphism algebras of restricted representations
Let $G$ be a group, and
$$\rho:G\to \mathrm{GL}(V)$$
be an absolutely irreducible, finite-dimensional representation over a characteristic $0$ field $k$. For each finite index subgroup $H\le G$, let
…