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On weights of $l$-adic representation

Serguei Tankeev
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Abstract

Let $J$ be an abelian variety over a number field such that the center of its endomorphism ring is equal to the ring of integers. If the endomorphism ring splits at a prime number $l$, then the $l$-adic representation is defined by the minuscule weights (microweights) of simple classical Lie algebras.

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Serguei Tankeev. 1997-05-02. On weights of $l$-adic representation. https://arxiv.org/abs/math/9705214

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