Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Baxter-Bazhanov Model, Frenkel-Moore Equation and the Braid Group   In this paper the three-dimensional vertex model is given, which is the
duality of the three-dimensional Baxter-Bazhanov (BB) model. The braid group
corresponding to Frenkel-Moore equation is constructed and the transformations
$R, I$ are found. These maps act on the group and denote the rotations of the
braids through the angles $\pi$ about some special axes. The weight function of
another three-dimensional vertex model related the 3D lattice integrable model
proposed by Boos, Mangazeev, Sergeev and Stroganov is presented also, which can
be interpreted as the deformation of the vertex model corresponding to the BB
model.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph