Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bihomogeneous symmetric functions   We consider two natural gradings on the space of symmetric functions: by
degree and by length. We introduce a differential operator $T$ that leaves the
components of this double grading invariant and exhibit a basis of
bihomogeneous symmetric functions in which this operator is triangular. This
allows us to compute the eigenvalues of $T$, which turn out to be non-negative
integers.

1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom