Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternionic Groups in Physics: A Panoramic Review   Due to the non-commutative nature of quaternions we introduce the concept of
left and right action for quaternionic numbers. This gives the opportunity to
manipulate appropriately the $H$-field. The standard problems arising in the
definitions of transpose, determinant and trace for quaternionic matrices are
overcome. We investigate the possibility to formulate a new approach to
Quaternionic Group Theory. Our aim is to highlight the possibility of looking
at new quaternionic groups by the use of left and right operators as
fundamental step toward a clear and complete discussion of Unification Theories
in Physics.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga