Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Poincare Series of Quadratic Algebras Associated to Hecke
  Symmetries   Hecke symmetries generalize the usual tensor symmetry of vector spaces
$v\otimes w\arrow w\otimes v$ as well as the symmetry of vector superspaces. To
a Hecke symmetry $R$ there associates a quadratic algebra which can be
interpreted as the function algebra upon a certain quantum space. This paper
investigates the Poincare series of this quadratic algebra. We showthat it is a
rational function with numerator and denominator being a reciprocal polynomial
and a skew-reciprocal polynomial, respectively.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg