Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subgroups of the Group of Generalized Lorentz Transformations and Their
  Geometric Invariants   It is shown that the group of generalized Lorentz transformations serves as
relativistic symmetry group of a flat Finslerian event space. Being the
generalization of Minkowski space, the Finslerian event space arises from the
spontaneous breaking of initial gauge symmetry and from the formation of
anisotropic fermion-antifermion condensate. The principle of generalized
Lorentz invariance enables exact taking into account the influence of
condensate on the dynamics of fundamental fields. In particular, the
corresponding generalized Dirac equation turns out to be nonlinear. We have
found two noncompact subgroups of the group of generalized Lorentz symmetry and
their geometric invariants. These subgroups play a key role in constructing
exact solutions of such equation.

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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con