Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation theory and the diagonal coinvariant ring of the type B
  Weyl group   We explain how to use representation theory to give a lower bound on the
dimension of the quotient ring by type $B_n$ diagonal invariants that improves
upon the current known lower bound $(2n+1)^n$ by a quadratic polynomial in $n$.

16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas