Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric Realization of the Lorentz Transformation Group in
  Pseudo-Euclidean Spaces   The Lorentz transformation group $SO(m,n)$ is a group of Lorentz
transformations of order $(m,n)$, that is, a group of special linear
transformations in a pseudo-Euclidean space of signature $(m,n)$ that leave the
pseudo-Euclidean inner product invariant. A parametrization of $SO(m,n)$ is
presented, giving rise to the composition law of Lorentz transformations of
order $(m,n)$ in terms of parameter composition. The parameter composition, in
turn, gives rise to a novel group-like structure called a bi-gyrogroup.
Bi-gyrogroups form a natural generalization of gyrogroups where the latter form
a natural generalization of groups. Like the abstract gyrogroup, the abstract
bi-gyrogroup can play a universal computational role which extends far beyond
the domain of pseudo-Euclidean spaces.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics