We establish a version of "level-lowering" for mod p Galois representations arising from the reductions of representations associated to Hubert modular forms. In particular, we show that level-lowering can be easily achieved if one replaces the base field with a suitable solvable extension. This is often enough for applications to proving the modularity of p-adic representations.
|Original language||English (US)|
|Number of pages||11|
|Journal||Duke Mathematical Journal|
|State||Published - 2001|
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