Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A statistic on the roots of a finite reflection group and a
  correspondence between the height function and Bruhat order   The action of a finite reflection group (type A) on its set of roots is
understood as a permutation representation or group action. We show that this
representation is an induced representation from a certain kind of parabolic
subgroup. Furthermore, we use this representation to define a statistic
(derived from the length function) on the set of roots. A possible application
to Costas Arrays is hinted at in a proposition.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph