Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The center of the generic algebra of degree p   Let $F$ be an algebraically closed field of characteristic zero, and let $p$
be an odd prime. We show that the center of the generic division algebra of
degree $p$ is stably rational over $F$. Equivalently, if we let $V=M_p(F)
\oplus M_p(F)$ and $PGL_p$ act on $V$ by simultaneous conjugation, then we show
that the function field of the quotient variety $V/PGL_p$ is stably rational
over $F$.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an