Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of field automorphism groups   This is a common introduction to math.RT/0101170, math.RT/0306333,
math.RT/0506043, math.RT/0601028. Compared to these references there are new
results including (i) a description of a separable closure of an extension of
transcendence degree one of an algebraically closed field of positive
characteristic; (ii) a "K\"unneth formula" for the products with curves; (iii)
the semi-simplicity of the module of regular forms of top degree
$\Omega^n_{F/k}$.

21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat