English

On weights of $l$-adic representation

Number Theory 2016-09-07 v1

Abstract

Let JJ 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 ll, then the ll-adic representation is defined by the minuscule weights (microweights) of simple classical Lie algebras.

Keywords

Cite

@article{arxiv.math/9705214,
  title  = {On weights of $l$-adic representation},
  author = {Serguei Tankeev},
  journal= {arXiv preprint arXiv:math/9705214},
  year   = {2016}
}