Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prolongation of symmetric Killing tensors and commuting symmetries of
  the Laplace operator   We determine the space of commuting symmetries of the Laplace operator on
pseudo-Riemannian manifolds of constant curvature, and derive its algebra
structure. Our construction is based on the Riemannian tractor calculus,
allowing to construct a prolongation of the differential system for symmetric
Killing tensors. We also discuss some aspects of its relation to projective
differential geometry.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess