Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-associative quaternion scalar field theory   A non-associative Groenewold-Moyal plane is constructed using
quaternion-valued function algebras. The symmetrized multi-particle states, the
scalar product, the annihilation/creation algebra and d the formulation in
terms of a Hopf algebra are also developed. Non-associative quantum algebras in
terms of position and momentum operators are given as the simplest examples of
a framework whose applications may involve string theory and non-linear quantum
field theory

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph