Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical harmonic polynomials for higher bundles   We give a method of decomposing bundle-valued polynomials compatible with the
action of the Lie group $Spin(n)$, where important tools are
$Spin(n)$-equivariant operators and their spectral decompositions. In
particular, the top irreducible component is realized as an intersection of
kernels of these operators.

24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat