Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The loop of relativistic velocities as a deformation of the menhir loop   The algebra of the relativistic composition of velocities is shown to be
isomorphic to an algebraic loop defined on division algebras. This makes
calculations in special relativity effortless and straightforward, unlike the
standard formulation, which consists of a rather convoluted algebraic equation.
The elegant appearance of the new formula brings about an additional value.

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg