We show that the systems of prime-to-p Hecke eigenvalues arising from automorphic forms\(\pmod p\) for a good prime p associated to an algebraic group \(G/{\mathbb {Q}}\) of Hodge type are the same as those arising from algebraic modular forms\(\pmod p\) associated to an inner form of G.

中文翻译：

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Hodge型自同构形式（mod p）和代数模形式的Hecke本征系统

我们证明了自同构形式\（\ pmod p \）产生的素数到p的Hecke特征值系统具有与Hodge类型的代数群\（G / {\ mathbb {Q}} \）相关的良好素数p与那些与G的内部形式相关的代数模块化形式\（\ pmod p \）产生的形式相同。