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- W1640596947 abstract "Let $k$ be a totally real field, and let $A/k$ be an absolutely irreducible, polarized Abelian variety of odd, prime dimension whose endomorphisms are all defined over $k$. Then the only strictly compatible families of abstract, absolutely irreducible representations of $gal(ov{k}/k)$ coming from $A$ are tensor products of Tate twists of symmetric powers of two-dimensional $lambda$-adic representations plus field automorphisms. The main ingredients of the proofs are the work of Borel and Tits on the `abstract' homomorphisms of almost simple algebraic groups, plus the work of Shimura on the fields of moduli of Abelian varieties." @default.
- W1640596947 created "2016-06-24" @default.
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- W1640596947 date "2001-06-03" @default.
- W1640596947 modified "2023-09-27" @default.
- W1640596947 title "`Abstract' homomorphisms of l-adic Galois groups and Abelian varieties" @default.
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