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- W2113594037 abstract "Let $F$ be a vector-valued real analytic Siegel cusp eigenform of weight $(2,1)$ with the eigenvalues $-frac 5{12}$ and 0 for the two generators of the center of the algebra consisting of all $Sp_4(R)$-invariant differential operators on the Siegel upper half plane of degree 2. Under the assumptions (1) the validity of the transfer of automorphic representations of $GSp_4$ to $GL_4$; (2) the existence of mod $ell$ Galois representation attached to $F$ and its lift to characteristic zero; (3) rationality of the space consisting of any such $F$; and (4) the integrality of Hecke polynomials of $F$, we construct a unique Artin representation of type $GSp_4$ associated to $F$. Several examples which satisfy these assumptions are given by using various transfers and automorphic descent." @default.
- W2113594037 created "2016-06-24" @default.
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- W2113594037 date "2013-07-29" @default.
- W2113594037 modified "2023-09-28" @default.
- W2113594037 title "Artin representations for GSp_4 attached to real analytic Siegel cusp forms of weight (2,1)" @default.
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