Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A differential ideal of symmetric polynomials spanned by Jack
  polynomials at $\beta=-(r-1)/(k+1)$   For each pair of positive integers (k,r) such that k+1,r-1 are coprime, we
introduce an ideal $I^{(k,r)}_n$ of the ring of symmetric polynomials. The
ideal $I^{(k,r)}_n$ has a basis consisting of Jack polynomials with parameter
$\beta=-(r-1)/(k+1)$, and admits an action of a family of differential
operators of Dunkl type including the positive half of the Virasoro algebra.
The space $I^{(k,2)}_n$ coincides with the space of all symmetric polynomials
in $n$ variables which vanish when $k+1$ variables are set equal. The space
$I_n^{(2,r)}$ coincides with the space of correlation functions of an abelian
current of a vertex operator algebra related to Virasoro minimal series
(3,r+2).

35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an