Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Brauer group of the product of a torus and a semisimple algebraic
  group   Let T be a torus (not assumed to be split) over a field F, and denote by
$_n{H^{2}_{et}(X,Gm)}$ the subgroup of elements of exponent dividing n in the
cohomological Brauer group of a scheme X over the field F. We provide
conditions on X and n for which the pull-back homomorphism
$_n{H^2_{et}(T,Gm)}\to_n{H^2_{et}(X\times T,Gm)}$ is an isomorphism. We apply
this to compute the Brauer group of some reductive groups and of non singular
affine quadrics. Apart from this, we investigate the p-torsion of the Azumaya
algebra defined Brauer group of a regular affine scheme over a field F of
characteristic p>0.

7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas