Hecke eigensystems of automorphic forms (mod p) of Hodge type and algebraic modular forms

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

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Veröffentlicht in:	Mathematische annalen 2022-02, Vol.382 (1-2), p.69-102
Hauptverfasser:	Terakado, Yasuhiro, Yu, Chia-Fu
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Sprache:	eng
Schlagworte:	Algebra Analytic functions Eigenvalues Mathematics Mathematics and Statistics
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description	We show that the systems of prime-to- p Hecke eigenvalues arising from automorphic forms ( mod p ) for a good prime p associated to an algebraic group G / Q of Hodge type are the same as those arising from algebraic modular forms ( mod p ) associated to an inner form of G .
doi_str_mv	10.1007/s00208-021-02200-y
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title	Hecke eigensystems of automorphic forms (mod p) of Hodge type and algebraic modular forms
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