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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

6 votes

Irreducibility of the $n$th symetric power of the reduction of the Galois representation of ...

For (i), if $\overline{\rho}_{f,\ell|G_{\mathbb{Q}(\zeta_\ell)}}$ was absolutely reducible, then in particular the image of $G_{\mathbb{Q}(\zeta_\ell)}$ under $\overline{\rho}$ would be solvable. Howe …
Kevin Ventullo's user avatar
3 votes

Molien for modular representations?

By a well known lemma in group theory, we can write any $g\in G$ uniquely as $h_1h_2$ where $h_1$ has order a power of $p$, $h_2$ has order prime to $p$, and $h_1h_2=h_2h_1$. Thus we may write $G$ as …
Kevin Ventullo's user avatar