Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tetrahedron equation and quantum R matrices for infinite dimensional
  modules of U_q(A^{(1)}_1) and U_q(A^{(2)}_2)   From the q-oscillator solution to the tetrahedron equation associated with a
quantized coordinate ring, we construct solutions to the Yang-Baxter equation
by applying a reduction procedure formulated earlier by S. Sergeev and the
first author. The results are identified with the quantum R matrices for the
infinite dimensional modules of U_q(A^{(1)}_1) and U_q(A^{(2)}_2) corresponding
to an affinization of Verma modules of their subalgebras isomorphic to
U_q(sl_2) and U_{q^4}(sl_2).

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an