Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: `Abstract' homomorphisms of l-adic Galois groups and Abelian varieties   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.

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys