Geodesic
Abelian varieties, $l$-adic representations and~$\mathrm{SL}_2$
Izvestiya. Mathematics , Tome 14 (1980) no. 2, pp. 275-288

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In this article the Lie algebra of a Galois group which operates on the Tate module of a two- or three-dimensional Abelian variety is calculated. It is assumed that the Abelian variety does not have nontrivial endomorphisms and is defined over a global field with characteristic greater than two. Bibliography: 14 titles. 
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     author = {Yu. G. Zarhin},
     title = {Abelian varieties, $l$-adic representations and~$\mathrm{SL}_2$},
     journal = {Izvestiya. Mathematics },
     pages = {275--288},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a3/}
}
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Yu. G. Zarhin. Abelian varieties, $l$-adic representations and~$\mathrm{SL}_2$. Izvestiya. Mathematics , Tome 14 (1980) no. 2, pp. 275-288. http://geodesic.mathdoc.fr/item/IM2_1980_14_2_a3/